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232205200040030 = 257223127162234907
BaseRepresentation
bin110100110011000001111100…
…011101101010000001011110
31010110011121012122020202102012
4310303001330131222001132
5220413422222202240110
62141505332442431222
766624162216045500
oct6463017435520136
91113147178222365
10232205200040030
1167a95743933428
1222062b0b802512
139c74b196ac809
14414ab123d5d70
151bca2cba87905
hexd3307c76a05e

232205200040030 has 96 divisors (see below), whose sum is σ = 511343663947776. Its totient is φ = 75552146784576.

The previous prime is 232205200040003. The next prime is 232205200040041. The reversal of 232205200040030 is 30040002502232.

232205200040030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 232205200039978 and 232205200040005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79686164 + ... + 82548743.

It is an arithmetic number, because the mean of its divisors is an integer number (5326496499456).

Almost surely, 2232205200040030 is an apocalyptic number.

232205200040030 is an abundant number, since it is smaller than the sum of its proper divisors (279138463907746).

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

232205200040030 is a wasteful number, since it uses less digits than its factorization.

232205200040030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162235078 (or 162235071 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

Adding to 232205200040030 its reverse (30040002502232), we get a palindrome (262245202542262).

The spelling of 232205200040030 in words is "two hundred thirty-two trillion, two hundred five billion, two hundred million, forty thousand, thirty".

Divisors: 1 2 5 7 10 14 23 35 46 49 70 98 115 127 161 230 245 254 322 490 635 805 889 1127 1270 1610 1778 2254 2921 4445 5635 5842 6223 8890 11270 12446 14605 20447 29210 31115 40894 62230 102235 143129 204470 286258 715645 1431290 162234907 324469814 811174535 1135644349 1622349070 2271288698 3731402861 5678221745 7462805722 7949510443 11356443490 15899020886 18657014305 20603833189 26119820027 37314028610 39747552215 41207666378 52239640054 79495104430 103019165945 130599100135 144226832323 182838740189 206038331890 261198200270 288453664646 365677480378 473888163347 721134161615 914193700945 947776326694 1009587826261 1442268323230 1828387401890 2019175652522 2369440816735 3317217143429 4738881633470 5047939131305 6634434286858 10095878262610 16586085717145 23220520004003 33172171434290 46441040008006 116102600020015 232205200040030