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232146657856 = 2622922632
BaseRepresentation
bin1101100000110100000…
…1001110001001000000
3211012012200220002212001
43120031001032021000
512300414021022411
6254351404313344
722525545014401
oct3301501161100
9735180802761
10232146657856
118a4a8811033
1238ba9542854
1318b7835a209
14b34367d9a8
15608a77edc1
hex360d04e240

232146657856 has 63 divisors (see below), whose sum is σ = 464452403961. Its totient is φ = 115127042304.

The previous prime is 232146657811. The next prime is 232146657857. The reversal of 232146657856 is 658756641232.

The square root of 232146657856 is 481816.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 216210120256 + 15936537600 = 464984^2 + 126240^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232146657797 and 232146657806.

It is not an unprimeable number, because it can be changed into a prime (232146657857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 882686781 + ... + 882687043.

Almost surely, 2232146657856 is an apocalyptic number.

232146657856 is the 481816-th square number.

It is an amenable number.

232146657856 is an abundant number, since it is smaller than the sum of its proper divisors (232305746105).

232146657856 is an frugal number, since it uses more digits than its factorization.

232146657856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 494 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 55.

The spelling of 232146657856 in words is "two hundred thirty-two billion, one hundred forty-six million, six hundred fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 229 263 458 526 916 1052 1832 2104 3664 4208 7328 8416 14656 16832 52441 60227 69169 104882 120454 138338 209764 240908 276676 419528 481816 553352 839056 963632 1106704 1678112 1927264 2213408 3356224 3854528 4426816 13791983 15839701 27583966 31679402 55167932 63358804 110335864 126717608 220671728 253435216 441343456 506870432 882686912 1013740864 3627291529 7254583058 14509166116 29018332232 58036664464 116073328928 232146657856