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232231411515104 = 25195323393081139
BaseRepresentation
bin110100110011011010010110…
…110010011111111011100000
31010110021002212100202122121022
4310303122112302133323200
5220414334412321440404
62141525345421345012
766626110603650251
oct6463322662377340
91113232770678538
10232231411515104
1167aa58745a3621
1222068005a08168
139c77435bc7591
14414c0bb618b28
151bcad12cb08be
hexd33696c9fee0

232231411515104 has 96 divisors (see below), whose sum is σ = 490559391504000. Its totient is φ = 107882620844544.

The previous prime is 232231411515073. The next prime is 232231411515139. The reversal of 232231411515104 is 401515114132232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73831367 + ... + 76912505.

It is an arithmetic number, because the mean of its divisors is an integer number (5109993661500).

Almost surely, 2232231411515104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232231411515104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245279695752000).

232231411515104 is an abundant number, since it is smaller than the sum of its proper divisors (258327979988896).

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

232231411515104 is a wasteful number, since it uses less digits than its factorization.

232231411515104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083560 (or 3083552 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 232231411515104 its reverse (401515114132232), we get a palindrome (633746525647336).

The spelling of 232231411515104 in words is "two hundred thirty-two trillion, two hundred thirty-one billion, four hundred eleven million, five hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 53 76 106 152 212 304 424 608 848 1007 1696 2014 2339 4028 4678 8056 9356 16112 18712 32224 37424 44441 74848 88882 123967 177764 247934 355528 495868 711056 991736 1422112 1983472 2355373 3081139 3966944 4710746 6162278 9421492 12324556 18842984 24649112 37685968 49298224 58541641 75371936 98596448 117083282 163300367 234166564 326600734 468333128 653201468 936666256 1306402936 1873332512 2612805872 3102706973 5225611744 6205413946 7206784121 12410827892 14413568242 24821655784 28827136484 49643311568 57654272968 99286623136 115308545936 136928898299 230617091872 273857796598 381959558413 547715593196 763919116826 1095431186392 1527838233652 2190862372784 3055676467304 4381724745568 6111352934608 7257231609847 12222705869216 14514463219694 29028926439388 58057852878776 116115705757552 232231411515104