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232444252111220 = 225176173153527861
BaseRepresentation
bin110100110110100000100101…
…000100111100000101110100
31010111000110020120220012112122
4310312200211010330011310
5220431331312020024340
62142211225410135112
766650354154114452
oct6466404504740564
91114013216805478
10232444252111220
1168078065564726
12220a1305881498
139c91525576106
14415850cc0d9d2
151bd161d69adb5
hexd3682513c174

232444252111220 has 96 divisors (see below), whose sum is σ = 532515688127136. Its totient is φ = 84894765465600.

The previous prime is 232444252111189. The next prime is 232444252111243. The reversal of 232444252111220 is 22111252444232.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 37033991829136 + 195410260282084 = 6085556^2 + 13978922^2 .

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, 75249911 + ... + 78277950.

It is an arithmetic number, because the mean of its divisors is an integer number (5547038417991).

Almost surely, 2232444252111220 is an apocalyptic number.

232444252111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232444252111220 is an abundant number, since it is smaller than the sum of its proper divisors (300071436015916).

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

232444252111220 is a wasteful number, since it uses less digits than its factorization.

232444252111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153528021 (or 153528019 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The spelling of 232444252111220 in words is "two hundred thirty-two trillion, four hundred forty-four billion, two hundred fifty-two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 61 68 73 85 122 146 170 244 292 305 340 365 610 730 1037 1220 1241 1460 2074 2482 4148 4453 4964 5185 6205 8906 10370 12410 17812 20740 22265 24820 44530 75701 89060 151402 302804 378505 757010 1514020 153527861 307055722 614111444 767639305 1535278610 2609973637 3070557220 5219947274 9365199521 10439894548 11207533853 13049868185 18730399042 22415067706 26099736370 37460798084 44830135412 46825997605 52199472740 56037669265 93651995210 112075338530 159208391857 187303990420 190528075501 224150677060 318416783714 381056151002 636833567428 683659565033 762112302004 796041959285 952640377505 1367319130066 1592083918570 1905280755010 2734638260132 3184167837140 3418297825165 3810561510020 6836595650330 11622212605561 13673191300660 23244425211122 46488850422244 58111063027805 116222126055610 232444252111220