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22972128 = 253271883
BaseRepresentation
bin101011110100…
…0011011100000
31121020002211120
41113220123200
521340102003
62140212240
7366155064
oct127503340
947202746
1022972128
1111a70333
12783a080
1349b419a
14309daa4
15203b853
hex15e86e0

22972128 has 48 divisors (see below), whose sum is σ = 60592896. Its totient is φ = 7620480.

The previous prime is 22972123. The next prime is 22972133. The reversal of 22972128 is 82127922.

It is an interprime number because it is at equal distance from previous prime (22972123) and next prime (22972133).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22972123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25575 + ... + 26457.

It is an arithmetic number, because the mean of its divisors is an integer number (1262352).

Almost surely, 222972128 is an apocalyptic number.

It is an amenable number.

22972128 is an abundant number, since it is smaller than the sum of its proper divisors (37620768).

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

22972128 is a wasteful number, since it uses less digits than its factorization.

22972128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1159 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 22972128 is about 4792.9247855563. The cubic root of 22972128 is about 284.2717758110.

The spelling of 22972128 in words is "twenty-two million, nine hundred seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 271 542 813 883 1084 1626 1766 2168 2649 3252 3532 4336 5298 6504 7064 8672 10596 13008 14128 21192 26016 28256 42384 84768 239293 478586 717879 957172 1435758 1914344 2871516 3828688 5743032 7657376 11486064 22972128