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223133101230 = 235132959334387
BaseRepresentation
bin1100111111001111000…
…1001110110010101110
3210022221112021222122110
43033303301032302232
512123434033214410
6250301140424450
722056306031554
oct3176361166256
9708845258573
10223133101230
11866a2900586
12372b29a8126
131806cb41560
14ab2a539bd4
155c0e2c6720
hex33f3c4ecae

223133101230 has 128 divisors (see below), whose sum is σ = 606713587200. Its totient is φ = 52132114944.

The previous prime is 223133101229. The next prime is 223133101241. The reversal of 223133101230 is 32101331322.

It is a super-3 number, since 3×2231331012303 (a number of 35 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 223133101197 and 223133101206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 500097 + ... + 834483.

It is an arithmetic number, because the mean of its divisors is an integer number (4739949900).

Almost surely, 2223133101230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223133101230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303356793600).

223133101230 is an abundant number, since it is smaller than the sum of its proper divisors (383580485970).

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

223133101230 is a wasteful number, since it uses less digits than its factorization.

223133101230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334498.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 223133101230 its reverse (32101331322), we get a palindrome (255234432552).

It can be divided in two parts, 22313310 and 1230, that added together give a triangular number (22314540 = T6680).

The spelling of 223133101230 in words is "two hundred twenty-three billion, one hundred thirty-three million, one hundred one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 59 65 78 87 118 130 145 174 177 195 290 295 354 377 390 435 590 754 767 870 885 1131 1534 1711 1770 1885 2262 2301 3422 3770 3835 4602 5133 5655 7670 8555 10266 11310 11505 17110 22243 23010 25665 44486 51330 66729 111215 133458 222430 333645 334387 667290 668774 1003161 1671935 2006322 3343870 4347031 5015805 8694062 9697223 10031610 13041093 19394446 19728833 21735155 26082186 29091669 39457666 43470310 48486115 58183338 59186499 65205465 96972230 98644165 118372998 126063899 130410930 145458345 197288330 252127798 256474829 290916690 295932495 378191697 512949658 572136157 591864990 630319495 756383394 769424487 1144272314 1260638990 1282374145 1538848974 1716408471 1890958485 2564748290 2860680785 3432816942 3781916970 3847122435 5721361570 7437770041 7694244870 8582042355 14875540082 17164084710 22313310123 37188850205 44626620246 74377700410 111566550615 223133101230