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22890564 = 2232635849
BaseRepresentation
bin101011101010…
…0100001000100
31121001221221200
41113110201010
521324444224
62134342500
7365365224
oct127244104
947057850
1022890564
1111a15024
1277baa30
134986018
14307c084
1520225c9
hex15d4844

22890564 has 18 divisors (see below), whose sum is σ = 57862350. Its totient is φ = 7630176.

The previous prime is 22890563. The next prime is 22890601. The reversal of 22890564 is 46509822.

It is a happy number.

22890564 is a `hidden beast` number, since 2 + 2 + 8 + 90 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18922500 + 3968064 = 4350^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 635849 = 22890564 / (2 + 2 + 8 + 9 + 0 + 5 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22890563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 317889 + ... + 317960.

It is an arithmetic number, because the mean of its divisors is an integer number (3214575).

Almost surely, 222890564 is an apocalyptic number.

It is an amenable number.

22890564 is an abundant number, since it is smaller than the sum of its proper divisors (34971786).

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

22890564 is a wasteful number, since it uses less digits than its factorization.

22890564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635859 (or 635854 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 22890564 is about 4784.4084273816. The cubic root of 22890564 is about 283.9349351707.

The spelling of 22890564 in words is "twenty-two million, eight hundred ninety thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 635849 1271698 1907547 2543396 3815094 5722641 7630188 11445282 22890564