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22142881296 = 2432769199961
BaseRepresentation
bin10100100111110100…
…011000111000010000
32010011011201220202200
4110213310120320100
5330322034200141
614101114443200
71412502246144
oct244764307020
963134656680
1022142881296
1194330964a8
12435b733500
13211b62a933
141100b35224
15898e53ab6
hex527d18e10

22142881296 has 60 divisors (see below), whose sum is σ = 62050208220. Its totient is φ = 7371325440.

The previous prime is 22142881273. The next prime is 22142881297. The reversal of 22142881296 is 69218824122.

It can be written as a sum of positive squares in 2 ways, for example, as 16170682896 + 5972198400 = 127164^2 + 77280^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22142881297) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10756 + ... + 210716.

It is an arithmetic number, because the mean of its divisors is an integer number (1034170137).

Almost surely, 222142881296 is an apocalyptic number.

It is an amenable number.

22142881296 is an abundant number, since it is smaller than the sum of its proper divisors (39907326924).

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

22142881296 is a wasteful number, since it uses less digits than its factorization.

22142881296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200744 (or 200735 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 22142881296 in words is "twenty-two billion, one hundred forty-two million, eight hundred eighty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 769 1538 2307 3076 4614 6152 6921 9228 12304 13842 18456 27684 36912 55368 110736 199961 399922 599883 799844 1199766 1599688 1799649 2399532 3199376 3599298 4799064 7198596 9598128 14397192 28794384 153770009 307540018 461310027 615080036 922620054 1230160072 1383930081 1845240108 2460320144 2767860162 3690480216 5535720324 7380960432 11071440648 22142881296