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232240030331124 = 2231713910977465957
BaseRepresentation
bin110100110011100010011000…
…100000101011000011110100
31010110021221010000120212111110
4310303202120200223003310
5220420010040231043444
62141533332544435020
766626534310454614
oct6463423040530364
91113257100525443
10232240030331124
1167aa9497700672
1222069810318a70
139c781aa6c380a
14414c698166a44
151bcb169793cb9
hexd3389882b0f4

232240030331124 has 96 divisors (see below), whose sum is σ = 578424200135040. Its totient is φ = 72269498437632.

The previous prime is 232240030331077. The next prime is 232240030331131. The reversal of 232240030331124 is 421133030042232.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 232240030331091 and 232240030331100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27373554 + ... + 34839510.

It is an arithmetic number, because the mean of its divisors is an integer number (6025252084740).

Almost surely, 2232240030331124 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 232240030331124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289212100067520).

232240030331124 is an abundant number, since it is smaller than the sum of its proper divisors (346184169803916).

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

232240030331124 is a wasteful number, since it uses less digits than its factorization.

232240030331124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7467217 (or 7467215 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 232240030331124 its reverse (421133030042232), we get a palindrome (653373060373356).

The spelling of 232240030331124 in words is "two hundred thirty-two trillion, two hundred forty billion, thirty million, three hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 139 204 278 417 556 834 1097 1668 2194 2363 3291 4388 4726 6582 7089 9452 13164 14178 18649 28356 37298 55947 74596 111894 152483 223788 304966 457449 609932 914898 1829796 2592211 5184422 7465957 7776633 10368844 14931914 15553266 22397871 29863828 31106532 44795742 89591484 126921269 253842538 380763807 507685076 761527614 1037768023 1523055228 2075536046 3113304069 4151072092 6226608138 8190154829 12453216276 16380309658 17642056391 24570464487 32760619316 35284112782 49140928974 52926169173 70568225564 98281857948 105852338346 139232632093 211704676692 278465264186 417697896279 556930528372 835395792558 1138431521231 1670791585116 2276863042462 3415294563693 4553726084924 6830589127386 13661178254772 19353335860927 38706671721854 58060007582781 77413343443708 116120015165562 232240030331124