Search a number
-
+
33322120230 = 23572131173039
BaseRepresentation
bin11111000010001001…
…110011010000100110
310012000021110002121010
4133002021303100212
51021220430321410
623150304403050
72256516230400
oct370211632046
9105007402533
1033322120230
111314a517143
12655b616486
1331b0720909
141881741b70
15d005eac20
hex7c2273426

33322120230 has 96 divisors (see below), whose sum is σ = 93740613120. Its totient is φ = 7558299840.

The previous prime is 33322120213. The next prime is 33322120231. The reversal of 33322120230 is 3202122333.

It is a super-2 number, since 2×333221202302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 33322120197 and 33322120206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33322120231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106051 + ... + 279089.

It is an arithmetic number, because the mean of its divisors is an integer number (976464720).

Almost surely, 233322120230 is an apocalyptic number.

33322120230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33322120230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46870306560).

33322120230 is an abundant number, since it is smaller than the sum of its proper divisors (60418492890).

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

33322120230 is a wasteful number, since it uses less digits than its factorization.

33322120230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173194 (or 173187 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 33322120230 its reverse (3202122333), we get a palindrome (36524242563).

The spelling of 33322120230 in words is "thirty-three billion, three hundred twenty-two million, one hundred twenty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 131 147 210 245 262 294 393 490 655 735 786 917 1310 1470 1834 1965 2751 3930 4585 5502 6419 9170 12838 13755 19257 27510 32095 38514 64190 96285 173039 192570 346078 519117 865195 1038234 1211273 1730390 2422546 2595585 3633819 5191170 6056365 7267638 8478911 12112730 16957822 18169095 22668109 25436733 36338190 42394555 45336218 50873466 68004327 84789110 113340545 127183665 136008654 158676763 226681090 254367330 317353526 340021635 476030289 680043270 793383815 952060578 1110737341 1586767630 2221474682 2380151445 3332212023 4760302890 5553686705 6664424046 11107373410 16661060115 33322120230