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92893896225 = 34521325212
BaseRepresentation
bin101011010000011101…
…0000101111000100001
322212202221020212110000
41112200322011320201
53010221314134400
6110401434330213
76465666042534
oct1264072057041
9285687225400
1092893896225
113643a201169
1216005b89969
1389b5536a00
1446d33a4a1b
15263a462600
hex15a0e85e21

92893896225 has 135 divisors (see below), whose sum is σ = 186684377979. Its totient is φ = 45644601600.

The previous prime is 92893896197. The next prime is 92893896257. The reversal of 92893896225 is 52269839829.

The square root of 92893896225 is 304785.

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

92893896225 is a `hidden beast` number, since 9 + 28 + 9 + 389 + 6 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 92795172129 + 98724096 = 304623^2 + 9936^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a de Polignac number, because none of the positive numbers 2k-92893896225 is a prime.

It is a super-2 number, since 2×928938962252 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 178298965 + ... + 178299485.

Almost surely, 292893896225 is an apocalyptic number.

92893896225 is the 304785-th square number.

92893896225 is the 152393-rd centered octagonal number.

It is an amenable number.

92893896225 is an abundant number, since it is smaller than the sum of its proper divisors (93790481754).

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

92893896225 is an equidigital number, since it uses as much as digits as its factorization.

92893896225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 542 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 92893896225 in words is "ninety-two billion, eight hundred ninety-three million, eight hundred ninety-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 169 195 225 325 351 405 507 521 585 675 845 975 1053 1521 1563 1755 2025 2535 2605 2925 4225 4563 4689 5265 6773 7605 7815 8775 12675 13025 13689 14067 20319 22815 23445 26325 33865 38025 39075 42201 60957 68445 70335 88049 101595 114075 117225 169325 182871 211005 264147 271441 304785 342225 351675 440245 507975 548613 792441 814323 914355 1055025 1320735 1357205 1523925 2201225 2377323 2442969 2743065 3528733 3962205 4071615 4571775 6603675 6786025 7131969 7328907 10586199 11886615 12214845 13715325 17643665 19811025 20358075 21986721 31758597 35659845 36644535 45873529 52930995 59433075 61074225 88218325 95275791 109933605 137620587 158792985 178299225 183222675 229367645 264654975 285827373 412861761 476378955 549668025 688102935 793964925 1146838225 1238585283 1429136865 2064308805 2381894775 3440514675 3715755849 6192926415 7145684325 10321544025 18578779245 30964632075 92893896225