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90102204 = 2232592719
BaseRepresentation
bin1010101111011…
…01100110111100
320021112122222200
411113231212330
5141031232304
612535111500
72142566433
oct527554674
9207478880
1090102204
1146951135
1226212590
131588961a
14bd7611a
157d9be39
hex55ed9bc

90102204 has 54 divisors (see below), whose sum is σ = 232006320. Its totient is φ = 29483952.

The previous prime is 90102197. The next prime is 90102211. The reversal of 90102204 is 40220109.

It is an interprime number because it is at equal distance from previous prime (90102197) and next prime (90102211).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 124957 + ... + 125675.

Almost surely, 290102204 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 90102204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116003160).

90102204 is an abundant number, since it is smaller than the sum of its proper divisors (141904116).

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

90102204 is a wasteful number, since it uses less digits than its factorization.

90102204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 90102204 is about 9492.2180758767. The cubic root of 90102204 is about 448.3100465909.

The spelling of 90102204 in words is "ninety million, one hundred two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 719 1062 1438 2124 2157 2876 3481 4314 6471 6962 8628 10443 12942 13924 20886 25884 31329 41772 42421 62658 84842 125316 127263 169684 254526 381789 509052 763578 1527156 2502839 5005678 7508517 10011356 15017034 22525551 30034068 45051102 90102204