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22972976 = 2413195813
BaseRepresentation
bin101011110100…
…0101000110000
31121020010222222
41113220220300
521340113401
62140220212
7366160415
oct127505060
947203888
1022972976
1111a70a34
12783a668
1349b46a0
1430a010c
15203bc1b
hex15e8a30

22972976 has 40 divisors (see below), whose sum is σ = 50465520. Its totient is φ = 10043136.

The previous prime is 22972951. The next prime is 22972987. The reversal of 22972976 is 67927922.

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 7 ways as a sum of consecutive naturals, for example, 1046 + ... + 6858.

It is an arithmetic number, because the mean of its divisors is an integer number (1261638).

Almost surely, 222972976 is an apocalyptic number.

22972976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22972976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25232760).

22972976 is an abundant number, since it is smaller than the sum of its proper divisors (27492544).

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

22972976 is a wasteful number, since it uses less digits than its factorization.

22972976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5853 (or 5847 counting only the distinct ones).

The product of its digits is 190512, while the sum is 44.

The square root of 22972976 is about 4793.0132484691. The cubic root of 22972976 is about 284.2752736657.

The spelling of 22972976 in words is "twenty-two million, nine hundred seventy-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1976 3952 5813 11626 23252 46504 75569 93008 110447 151138 220894 302276 441788 604552 883576 1209104 1435811 1767152 2871622 5743244 11486488 22972976