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232253524423232 = 26131788371858169
BaseRepresentation
bin110100110011101110111100…
…110100100011001001000000
31010110100012221110002202220122
4310303232330310203021000
5220420220204223020412
62141543443545555412
766630522563402204
oct6463567464431100
91113305843082818
10232253524423232
1168004191777804
12220703574a5b68
139c7954b25c4c0
14414d1b838ab04
151bcb6a9293572
hexd33bbcd23240

232253524423232 has 112 divisors (see below), whose sum is σ = 525585896745840. Its totient is φ = 100876937920512.

The previous prime is 232253524423213. The next prime is 232253524423259. The reversal of 232253524423232 is 232324425352232.

It can be written as a sum of positive squares in 8 ways, for example, as 99256905626176 + 132996618797056 = 9962776^2 + 11532416^2 .

It is a super-2 number, since 2×2322535244232322 (a number of 30 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 124061444 + ... + 125919612.

It is an arithmetic number, because the mean of its divisors is an integer number (4692731220945).

Almost surely, 2232253524423232 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 232253524423232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262792948372920).

232253524423232 is an abundant number, since it is smaller than the sum of its proper divisors (293332372322608).

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

232253524423232 is a wasteful number, since it uses less digits than its factorization.

232253524423232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867048 (or 1867038 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 44.

Adding to 232253524423232 its reverse (232324425352232), we get a palindrome (464577949775464).

The spelling of 232253524423232 in words is "two hundred thirty-two trillion, two hundred fifty-three billion, five hundred twenty-four million, four hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 3536 7072 8837 14144 17674 35348 70696 114881 141392 150229 229762 282784 300458 459524 565568 600916 919048 1201832 1838096 1858169 1952977 2403664 3676192 3716338 3905954 4807328 7352384 7432676 7811908 9614656 14865352 15623816 24156197 29730704 31247632 31588873 48312394 59461408 62495264 63177746 96624788 118922816 124990528 126355492 193249576 252710984 386499152 410655349 505421968 772998304 821310698 1010843936 1545996608 1642621396 2021687872 3285242792 6570485584 13140971168 16420639453 26281942336 32841278906 65682557812 131365115624 213468312889 262730231248 279150870701 426936625778 525460462496 558301741402 853873251556 1050920924992 1116603482804 1707746503112 2233206965608 3415493006224 3628961319113 4466413931216 6830986012448 7257922638226 8932827862432 13661972024896 14515845276452 17865655724864 29031690552904 58063381105808 116126762211616 232253524423232