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22638990 = 23511312213
BaseRepresentation
bin101011001011…
…1000110001110
31120121011212010
41112113012032
521243421430
62125122050
7363266613
oct126270616
946534763
1022638990
1111863010
1276b9326
1348c866a
14301450a
151ec2cb0
hex159718e

22638990 has 64 divisors (see below), whose sum is σ = 61212672. Its totient is φ = 5308800.

The previous prime is 22638971. The next prime is 22639031. The reversal of 22638990 is 9983622.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9124 + ... + 11336.

It is an arithmetic number, because the mean of its divisors is an integer number (956448).

Almost surely, 222638990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22638990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30606336).

22638990 is an abundant number, since it is smaller than the sum of its proper divisors (38573682).

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

22638990 is a wasteful number, since it uses less digits than its factorization.

22638990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265.

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 22638990 is about 4758.0447664981. The cubic root of 22638990 is about 282.8909250977.

The spelling of 22638990 in words is "twenty-two million, six hundred thirty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 1023 1705 2046 2213 3410 4426 5115 6639 10230 11065 13278 22130 24343 33195 48686 66390 68603 73029 121715 137206 146058 205809 243430 343015 365145 411618 686030 730290 754633 1029045 1509266 2058090 2263899 3773165 4527798 7546330 11319495 22638990