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22638920 = 235565973
BaseRepresentation
bin101011001011…
…1000101001000
31120121011202112
41112113011020
521243421140
62125121452
7363266453
oct126270510
946534675
1022638920
1111862a57
1276b9288
1348c8615
14301449a
151ec2c65
hex1597148

22638920 has 16 divisors (see below), whose sum is σ = 50937660. Its totient is φ = 9055552.

The previous prime is 22638919. The next prime is 22638947. The reversal of 22638920 is 2983622.

It can be written as a sum of positive squares in 2 ways, for example, as 22033636 + 605284 = 4694^2 + 778^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 282947 + ... + 283026.

Almost surely, 222638920 is an apocalyptic number.

22638920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22638920 is an abundant number, since it is smaller than the sum of its proper divisors (28298740).

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

22638920 is a wasteful number, since it uses less digits than its factorization.

22638920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565984 (or 565980 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 22638920 is about 4758.0374105297. The cubic root of 22638920 is about 282.8906335302.

The spelling of 22638920 in words is "twenty-two million, six hundred thirty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 565973 1131946 2263892 2829865 4527784 5659730 11319460 22638920