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232531708420 = 225116170924439
BaseRepresentation
bin1101100010001111111…
…0000100101000000100
3211020012112102200221001
43120203332010220010
512302211104132140
6254453521303044
722541231623654
oct3304376045004
9736175380831
10232531708420
118a6860a6240
1239096494a84
1318c0a06619b
14b37c872364
1560ae48de9a
hex3623f84a04

232531708420 has 96 divisors (see below), whose sum is σ = 542227795200. Its totient is φ = 83050099200.

The previous prime is 232531708397. The next prime is 232531708421. The reversal of 232531708420 is 24807135232.

232531708420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 232531708420.

It is not an unprimeable number, because it can be changed into a prime (232531708421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9502561 + ... + 9526999.

It is an arithmetic number, because the mean of its divisors is an integer number (5648206200).

Almost surely, 2232531708420 is an apocalyptic number.

232531708420 is a gapful number since it is divisible by the number (20) 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 232531708420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271113897600).

232531708420 is an abundant number, since it is smaller than the sum of its proper divisors (309696086780).

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

232531708420 is a wasteful number, since it uses less digits than its factorization.

232531708420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25229 (or 25227 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 232531708420 in words is "two hundred thirty-two billion, five hundred thirty-one million, seven hundred eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 709 1220 1342 1418 2684 2836 3355 3545 6710 7090 7799 13420 14180 15598 24439 31196 38995 43249 48878 77990 86498 97756 122195 155980 172996 216245 244390 268829 432490 475739 488780 537658 864980 951478 1075316 1344145 1490779 1902956 2378695 2688290 2981558 4757390 5376580 5963116 7453895 9514780 14907790 16398569 17327251 29815580 32797138 34654502 65594276 69309004 81992845 86636255 163985690 173272510 190599761 327971380 346545020 381199522 762399044 952998805 1056962311 1905997610 2113924622 3811995220 4227849244 5284811555 10569623110 11626585421 21139246220 23253170842 46506341684 58132927105 116265854210 232531708420