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22016879168 = 262343334543
BaseRepresentation
bin10100100000010011…
…101110101001000000
32002211101122100100012
4110200103232221000
5330042310113133
614040414044052
71406412246044
oct244023565100
962741570305
1022016879168
119378a55209
1243254a9628
1320cb4b1a6b
1410cc0d6024
1588cd64b48
hex5204eea40

22016879168 has 56 divisors (see below), whose sum is σ = 45695908608. Its totient is φ = 10505189376.

The previous prime is 22016879113. The next prime is 22016879201. The reversal of 22016879168 is 86197861022.

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 7 ways as a sum of consecutive naturals, for example, 620105 + ... + 654647.

It is an arithmetic number, because the mean of its divisors is an integer number (815998368).

Almost surely, 222016879168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22016879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22847954304).

22016879168 is an abundant number, since it is smaller than the sum of its proper divisors (23679029440).

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

22016879168 is a wasteful number, since it uses less digits than its factorization.

22016879168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35011 (or 35001 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 50.

The spelling of 22016879168 in words is "twenty-two billion, sixteen million, eight hundred seventy-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 433 736 866 1472 1732 3464 6928 9959 13856 19918 27712 34543 39836 69086 79672 138172 159344 276344 318688 552688 637376 794489 1105376 1588978 2210752 3177956 6355912 12711824 14957119 25423648 29914238 50847296 59828476 119656952 239313904 344013737 478627808 688027474 957255616 1376054948 2752109896 5504219792 11008439584 22016879168