Search a number
-
+
232257138102 = 233111672341349
BaseRepresentation
bin1101100001001110011…
…0101010110110110110
3211012111101210002021000
43120103212222312312
512301130311404402
6254410352304130
722531356046263
oct3302346526666
9735441702230
10232257138102
118a555110520
123901a542046
1318b95200042
14b3541dc26a
156095304c1c
hex36139aadb6

232257138102 has 64 divisors (see below), whose sum is σ = 566419392000. Its totient is φ = 69959478240.

The previous prime is 232257138089. The next prime is 232257138151. The reversal of 232257138102 is 201831752232.

232257138102 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 571 + 3 + 81 + 0 + 2 = 666.

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, 1071477 + ... + 1269872.

It is an arithmetic number, because the mean of its divisors is an integer number (8850303000).

Almost surely, 2232257138102 is an apocalyptic number.

232257138102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

232257138102 is an abundant number, since it is smaller than the sum of its proper divisors (334162253898).

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

232257138102 is a wasteful number, since it uses less digits than its factorization.

232257138102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341538 (or 2341532 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 232257138102 in words is "two hundred thirty-two billion, two hundred fifty-seven million, one hundred thirty-eight thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 167 198 297 334 501 594 1002 1503 1837 3006 3674 4509 5511 9018 11022 16533 33066 49599 99198 2341349 4682698 7024047 14048094 21072141 25754839 42144282 51509678 63216423 77264517 126432846 154529034 231793551 391005283 463587102 695380653 782010566 1173015849 1390761306 2346031698 3519047547 4301058113 7038095094 8602116226 10557142641 12903174339 21114285282 25806348678 38709523017 77419046034 116128569051 232257138102