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90102222 = 23272632719
BaseRepresentation
bin1010101111011…
…01100111001110
320021112200000100
411113231213032
5141031232342
612535111530
72142566460
oct527554716
9207480010
1090102222
1146951151
12262125a6
1315889632
14bd76130
157d9be4c
hex55ed9ce

90102222 has 48 divisors (see below), whose sum is σ = 224040960. Its totient is φ = 25636176.

The previous prime is 90102211. The next prime is 90102251. The reversal of 90102222 is 22220109.

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

It is a junction number, because it is equal to n+sod(n) for n = 90102195 and 90102204.

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 23 ways as a sum of consecutive naturals, for example, 31779 + ... + 34497.

It is an arithmetic number, because the mean of its divisors is an integer number (4667520).

Almost surely, 290102222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112020480).

90102222 is an abundant number, since it is smaller than the sum of its proper divisors (133938738).

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

90102222 is a wasteful number, since it uses less digits than its factorization.

90102222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2994 counting only the distinct ones).

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

The square root of 90102222 is about 9492.2190240217. The cubic root of 90102222 is about 448.3100764444.

The spelling of 90102222 in words is "ninety million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 263 526 789 1578 1841 2367 2719 3682 4734 5438 5523 8157 11046 16314 16569 19033 24471 33138 38066 48942 57099 114198 171297 342594 715097 1430194 2145291 4290582 5005679 6435873 10011358 12871746 15017037 30034074 45051111 90102222