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232541203132344 = 233191953112611009
BaseRepresentation
bin110100110111111010110111…
…110011101110111110111000
31010111100201111021100101001210
4310313322313303232332320
5220434423341000213334
62142323542015043120
766660355536154641
oct6467726763567670
91114321437311053
10232541203132344
1168105196916877
12220b80625104a0
139c9a7064b2932
14415d0a8d586c8
151bd3de4db95e9
hexd37eb7ceefb8

232541203132344 has 64 divisors (see below), whose sum is σ = 611953902144000. Its totient is φ = 73433660037120.

The previous prime is 232541203132321. The next prime is 232541203132367. The reversal of 232541203132344 is 443231302145232.

It is an interprime number because it is at equal distance from previous prime (232541203132321) and next prime (232541203132367).

It is a super-2 number, since 2×2325412031323442 (a number of 30 digits) contains 22 as substring.

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, 87756312 + ... + 90367320.

It is an arithmetic number, because the mean of its divisors is an integer number (9561779721000).

Almost surely, 2232541203132344 is an apocalyptic number.

232541203132344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232541203132344 is an abundant number, since it is smaller than the sum of its proper divisors (379412699011656).

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

232541203132344 is a wasteful number, since it uses less digits than its factorization.

232541203132344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806348 (or 2806344 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

Adding to 232541203132344 its reverse (443231302145232), we get a palindrome (675772505277576).

The spelling of 232541203132344 in words is "two hundred thirty-two trillion, five hundred forty-one billion, two hundred three million, one hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 195311 390622 585933 781244 1171866 1562488 2343732 2611009 3710909 4687464 5222018 7421818 7833027 10444036 11132727 14843636 15666054 20888072 22265454 29687272 31332108 44530908 49609171 62664216 89061816 99218342 148827513 198436684 297655026 396873368 595310052 1190620104 509958778799 1019917557598 1529876336397 2039835115196 3059752672794 4079670230392 6119505345588 9689216797181 12239010691176 19378433594362 29067650391543 38756867188724 58135300783086 77513734377448 116270601566172 232541203132344