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88022166401932 = 227292113311552121
BaseRepresentation
bin10100000000111001000001…
…111101011111001110001100
3102112122211121010020022111121
4110000321001331133032030
543014123344044330212
6511112454111330324
724353251224340240
oct2400710175371614
9375584533208447
1088022166401932
1126056a9a223214
129a573515209a4
133a165babcaa29
1417a441d12c420
15a299d28ebd07
hex500e41f5f38c

88022166401932 has 96 divisors (see below), whose sum is σ = 183530852144640. Its totient is φ = 36140803776000.

The previous prime is 88022166401857. The next prime is 88022166401989. The reversal of 88022166401932 is 23910466122088.

It is a happy number.

It is a super-2 number, since 2×880221664019322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 88022166401932.

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, 55934832 + ... + 57486952.

It is an arithmetic number, because the mean of its divisors is an integer number (1911779709840).

Almost surely, 288022166401932 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 88022166401932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91765426072320).

88022166401932 is an abundant number, since it is smaller than the sum of its proper divisors (95508685742708).

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

88022166401932 is a wasteful number, since it uses less digits than its factorization.

88022166401932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552703 (or 1552701 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 88022166401932 in words is "eighty-eight trillion, twenty-two billion, one hundred sixty-six million, four hundred one thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 58 116 203 211 331 406 422 662 812 844 1324 1477 2317 2954 4634 5908 6119 9268 9599 12238 19198 24476 38396 42833 67193 69841 85666 134386 139682 171332 268772 279364 488887 977774 1552121 1955548 2025389 3104242 4050778 6208484 8101556 10864847 14177723 21729694 28355446 43459388 45011509 56710892 90023018 180046036 315080563 327497531 513752051 630161126 654995062 1027504102 1260322252 1309990124 2055008204 2292482717 3596264357 4584965434 7192528714 9169930868 9497428399 14385057428 14898809479 18994856798 29797618958 37989713596 59595237916 66481998793 104291666353 108401682761 132963997586 208583332706 216803365522 265927995172 417166665412 433606731044 758811779327 1517623558654 3035247117308 3143648800069 6287297600138 12574595200276 22005541600483 44011083200966 88022166401932