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90221625 = 32531331199
BaseRepresentation
bin1010110000010…
…10110000111001
320021202201210200
411120022300321
5141044043000
612541432413
72143604544
oct530126071
9207681720
1090221625
1146a2292a
122626b709
13158cbaa0
14bda785b
157dc2500
hex560ac39

90221625 has 96 divisors (see below), whose sum is σ = 181708800. Its totient is φ = 42768000.

The previous prime is 90221609. The next prime is 90221653. The reversal of 90221625 is 52612209.

It is not a de Polignac number, because 90221625 - 24 = 90221609 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 453276 + ... + 453474.

It is an arithmetic number, because the mean of its divisors is an integer number (1892800).

Almost surely, 290221625 is an apocalyptic number.

It is an amenable number.

90221625 is an abundant number, since it is smaller than the sum of its proper divisors (91487175).

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

90221625 is a wasteful number, since it uses less digits than its factorization.

90221625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 90221625 is about 9498.5064615444. The cubic root of 90221625 is about 448.5080217653.

The spelling of 90221625 in words is "ninety million, two hundred twenty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 31 39 45 65 75 93 117 125 155 195 199 225 279 325 375 403 465 585 597 775 975 995 1125 1209 1395 1625 1791 2015 2325 2587 2925 2985 3627 3875 4875 4975 6045 6169 6975 7761 8955 10075 11625 12935 14625 14925 18135 18507 23283 24875 30225 30845 34875 38805 44775 50375 55521 64675 74625 80197 90675 92535 116415 151125 154225 194025 223875 240591 277605 323375 400985 453375 462675 582075 721773 771125 970125 1202955 1388025 2004925 2313375 2910375 3608865 6014775 6940125 10024625 18044325 30073875 90221625