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231969187032 = 2331117113457403
BaseRepresentation
bin1101100000001001110…
…0001110010011011000
3211011202022221122122120
43120002130032103120
512300033102441112
6254322024421240
722521261361632
oct3300234162330
9734668848576
10231969187032
118a417616630
1238b5a017820
1318b4a6605ab
14b327c83a52
156079dc5e8c
hex360270e4d8

231969187032 has 128 divisors (see below), whose sum is σ = 675786965760. Its totient is φ = 65573150720.

The previous prime is 231969186991. The next prime is 231969187057. The reversal of 231969187032 is 230781969132.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 278443 + ... + 735845.

It is an arithmetic number, because the mean of its divisors is an integer number (5279585670).

Almost surely, 2231969187032 is an apocalyptic number.

231969187032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231969187032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337893482880).

231969187032 is an abundant number, since it is smaller than the sum of its proper divisors (443817778728).

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

231969187032 is a wasteful number, since it uses less digits than its factorization.

231969187032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457553 (or 457549 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 231969187032 in words is "two hundred thirty-one billion, nine hundred sixty-nine million, one hundred eighty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 113 132 136 187 204 226 264 339 374 408 452 561 678 748 904 1122 1243 1356 1496 1921 2244 2486 2712 3729 3842 4488 4972 5763 7458 7684 9944 11526 14916 15368 21131 23052 29832 42262 46104 63393 84524 126786 169048 253572 457403 507144 914806 1372209 1829612 2744418 3659224 5031433 5488836 7775851 10062866 10977672 15094299 15551702 20125732 23327553 30188598 31103404 40251464 46655106 51686539 60377196 62206808 85534361 93310212 103373078 120754392 155059617 171068722 186620424 206746156 256603083 310119234 342137444 413492312 513206166 568551929 620238468 684274888 878671163 1026412332 1137103858 1240476936 1705655787 1757342326 2052824664 2274207716 2636013489 3411311574 3514684652 4548415432 5272026978 6822623148 7029369304 9665382793 10544053956 13645246296 19330765586 21088107912 28996148379 38661531172 57992296758 77323062344 115984593516 231969187032