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22173755968 = 267213543901
BaseRepresentation
bin10100101001101010…
…001010101001000000
32010020022211111212001
4110221222022221000
5330402440142333
614104140313344
71413325546600
oct245152125100
963208744761
1022173755968
119449564061
124369b42854
132124b4aa80
141104c90c00
1589ba01b7d
hex529a8aa40

22173755968 has 84 divisors (see below), whose sum is σ = 55122292092. Its totient is φ = 8772019200.

The previous prime is 22173755899. The next prime is 22173755971. The reversal of 22173755968 is 86955737122.

It can be written as a sum of positive squares in 2 ways, for example, as 1749916224 + 20423839744 = 41832^2 + 142912^2 .

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 11 ways as a sum of consecutive naturals, for example, 231183 + ... + 312718.

It is an arithmetic number, because the mean of its divisors is an integer number (656217763).

Almost surely, 222173755968 is an apocalyptic number.

22173755968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22173755968 is an abundant number, since it is smaller than the sum of its proper divisors (32948536124).

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

22173755968 is a wasteful number, since it uses less digits than its factorization.

22173755968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543940 (or 543923 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 55.

The spelling of 22173755968 in words is "twenty-two billion, one hundred seventy-three million, seven hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 182 196 208 224 364 392 416 448 637 728 784 832 1274 1456 1568 2548 2912 3136 5096 5824 10192 20384 40768 543901 1087802 2175604 3807307 4351208 7070713 7614614 8702416 14141426 15229228 17404832 26651149 28282852 30458456 34809664 49494991 53302298 56565704 60916912 98989982 106604596 113131408 121833824 197979964 213209192 226262816 243667648 346464937 395959928 426418384 452525632 692929874 791919856 852836768 1385859748 1583839712 1705673536 2771719496 3167679424 5543438992 11086877984 22173755968