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90102258 = 23222322447
BaseRepresentation
bin1010101111011…
…01100111110010
320021112200001200
411113231213302
5141031233013
612535112030
72142566541
oct527554762
9207480050
1090102258
1146951184
1226212616
131588965c
14bd76158
157d9be73
hex55ed9f2

90102258 has 24 divisors (see below), whose sum is σ = 196105728. Its totient is φ = 29898072.

The previous prime is 90102251. The next prime is 90102281. The reversal of 90102258 is 85220109.

It is a super-3 number, since 3×901022583 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (90102251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7210 + ... + 15237.

It is an arithmetic number, because the mean of its divisors is an integer number (8171072).

Almost surely, 290102258 is an apocalyptic number.

90102258 is an abundant number, since it is smaller than the sum of its proper divisors (106003470).

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

90102258 is a wasteful number, since it uses less digits than its factorization.

90102258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22678 (or 22675 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 90102258 is about 9492.2209203115. The cubic root of 90102258 is about 448.3101361512.

The spelling of 90102258 in words is "ninety million, one hundred two thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 18 223 446 669 1338 2007 4014 22447 44894 67341 134682 202023 404046 5005681 10011362 15017043 30034086 45051129 90102258