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232223022992 = 2419329131557
BaseRepresentation
bin1101100001000110010…
…0100001111110010000
3211012102000120212010102
43120101210201332100
512301043043213432
6254403133151532
722530463061312
oct3302144417620
9735360525112
10232223022992
118a53792a314
123900b02b5a8
1318b8b116c9c
14b34d87b7b2
156092316962
hex3611921f90

232223022992 has 160 divisors (see below), whose sum is σ = 495940579200. Its totient is φ = 105207298560.

The previous prime is 232223022971. The next prime is 232223023057. The reversal of 232223022992 is 299220322232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 416917178 + ... + 416917734.

It is an arithmetic number, because the mean of its divisors is an integer number (3099628620).

Almost surely, 2232223022992 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 232223022992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247970289600).

232223022992 is an abundant number, since it is smaller than the sum of its proper divisors (263717556208).

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

232223022992 is a wasteful number, since it uses less digits than its factorization.

232223022992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The spelling of 232223022992 in words is "two hundred thirty-two billion, two hundred twenty-three million, twenty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 19 29 38 58 76 116 131 152 232 262 304 361 464 524 551 557 722 1048 1102 1114 1444 2096 2204 2228 2489 2888 3799 4408 4456 4978 5776 6859 7598 8816 8912 9956 10469 10583 13718 15196 16153 19912 20938 21166 27436 30392 32306 39824 41876 42332 47291 54872 60784 64612 72181 72967 83752 84664 94582 109744 129224 144362 145934 167504 169328 189164 198911 201077 258448 288724 291868 306907 378328 397822 402154 577448 583736 613814 756656 795644 804308 898529 1154896 1167472 1227628 1371439 1386373 1591288 1608616 1797058 2116043 2455256 2742878 2772746 3182576 3217232 3594116 3820463 4232086 4910512 5485756 5545492 5831233 7188232 7640926 8464172 10971512 11090984 11662466 14376464 15281852 16928344 21943024 22181968 23324932 26057341 26341087 30563704 33856688 40204817 46649864 52114682 52682174 61127408 80409634 93299728 104229364 105364348 110793427 160819268 208458728 210728696 221586854 321638536 416917456 421457392 443173708 500480653 643277072 763891523 886347416 1000961306 1527783046 1772694832 2001922612 3055566092 4003845224 6111132184 8007690448 12222264368 14513938937 29027877874 58055755748 116111511496 232223022992