Search a number
-
+
330111222203232 = 253210731649338473
BaseRepresentation
bin100101100001111000000001…
…0001000101100001101100000
31121021211022202122211200100200
41023003300002020230031200
5321232020240341000412
63130031000225145200
7126350514552251421
oct11303600210541540
91537738678750320
10330111222203232
1196202423a51aa8
123103592448b200
131122747c30a632
145b7367b435648
152826e3cba49dc
hex12c3c0222c360

330111222203232 has 144 divisors (see below), whose sum is σ = 947559926149200. Its totient is φ = 109004923846656.

The previous prime is 330111222203209. The next prime is 330111222203237. The reversal of 330111222203232 is 232302222111033.

330111222203232 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 1 + 1 + 222 + 203 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3301112222032322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330111222203196 and 330111222203205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330111222203237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 975126348 + ... + 975464820.

It is an arithmetic number, because the mean of its divisors is an integer number (6580277264925).

Almost surely, 2330111222203232 is an apocalyptic number.

330111222203232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330111222203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473779963074600).

330111222203232 is an abundant number, since it is smaller than the sum of its proper divisors (617448703945968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330111222203232 is a wasteful number, since it uses less digits than its factorization.

330111222203232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370245 (or 370234 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 330111222203232 its reverse (232302222111033), we get a palindrome (562413444314265).

The spelling of 330111222203232 in words is "three hundred thirty trillion, one hundred eleven billion, two hundred twenty-two million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1712 1926 2568 3424 3852 5136 7704 10272 15408 30816 31649 63298 94947 126596 189894 253192 284841 338473 379788 506384 569682 676946 759576 1012768 1015419 1139364 1353892 1519152 2030838 2278728 2707784 3038304 3046257 3386443 4061676 4557456 5415568 6092514 6772886 8123352 9114912 10159329 10831136 12185028 13545772 16246704 20318658 24370056 27091544 30477987 32493408 36216611 40637316 48740112 54183088 60955974 72433222 81274632 97480224 108366176 108649833 121911948 144866444 162549264 217299666 243823896 289732888 325098528 325949499 434599332 487647792 579465776 651898998 869198664 975295584 1158931552 1303797996 1738397328 2607595992 3476794656 5215191984 10430383968 10712331977 21424663954 32136995931 42849327908 64273991862 85698655816 96410987793 128547983724 171397311632 192821975586 257095967448 342794623264 385643951172 514191934896 771287902344 1028383869792 1146219521539 1542575804688 2292439043078 3085151609376 3438658564617 4584878086156 6877317129234 9169756172312 10315975693851 13754634258468 18339512344624 20631951387702 27509268516936 36679024689248 41263902775404 55018537033872 82527805550808 110037074067744 165055611101616 330111222203232