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235572388164 = 223241219732
BaseRepresentation
bin1101101101100100110…
…1010110000101000100
3211112001110000020101100
43123121031112011010
512324423012410124
6300115341500100
723006463155331
oct3333115260504
9745043006340
10235572388164
11909a6520a03
12397a4871630
13192a2cc1779
14b58a627988
1561db3bb1c9
hex36d9356144

235572388164 has 81 divisors (see below), whose sum is σ = 610662167479. Its totient is φ = 76570078080.

The previous prime is 235572388157. The next prime is 235572388187. The reversal of 235572388164 is 461883275532.

The square root of 235572388164 is 485358.

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

235572388164 is a `hidden beast` number, since 2 + 3 + 5 + 572 + 3 + 8 + 8 + 1 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 136981412100 + 98590976064 = 370110^2 + 313992^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 235572388164.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 119397082 + ... + 119399054.

Almost surely, 2235572388164 is an apocalyptic number.

235572388164 is the 485358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235572388164

235572388164 is an abundant number, since it is smaller than the sum of its proper divisors (375089779315).

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

235572388164 is an equidigital number, since it uses as much as digits as its factorization.

235572388164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4038 (or 2019 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 235572388164 in words is "two hundred thirty-five billion, five hundred seventy-two million, three hundred eighty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1681 1973 3362 3946 5043 5919 6724 7892 10086 11838 15129 17757 20172 23676 30258 35514 60516 71028 80893 161786 242679 323572 485358 728037 970716 1456074 2912148 3316613 3892729 6633226 7785458 9949839 11678187 13266452 15570916 19899678 23356374 29849517 35034561 39799356 46712748 59699034 70069122 119398068 140138244 159601889 319203778 478805667 638407556 957611334 1436417001 1915222668 2872834002 5745668004 6543677449 13087354898 19631032347 26174709796 39262064694 58893097041 78524129388 117786194082 235572388164