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22117601128 = 2371379712969
BaseRepresentation
bin10100100110010011…
…111100111101101000
32010002102011112220011
4110212103330331220
5330244101214003
614054412541304
71412044336060
oct244623747550
963072145804
1022117601128
11941a89a0a7
124353181834
13211631905c
1410db6343a0
15896b0d46d
hex5264fcf68

22117601128 has 64 divisors (see below), whose sum is σ = 47806070400. Its totient is φ = 9396925440.

The previous prime is 22117601123. The next prime is 22117601141. The reversal of 22117601128 is 82110671122.

It is a self number, because there is not a number n which added to its sum of digits gives 22117601128.

It is not an unprimeable number, because it can be changed into a prime (22117601123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7448028 + ... + 7450996.

It is an arithmetic number, because the mean of its divisors is an integer number (746969850).

Almost surely, 222117601128 is an apocalyptic number.

22117601128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22117601128 is an abundant number, since it is smaller than the sum of its proper divisors (25688469272).

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

22117601128 is a wasteful number, since it uses less digits than its factorization.

22117601128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The spelling of 22117601128 in words is "twenty-two billion, one hundred seventeen million, six hundred one thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 137 274 548 959 971 1096 1918 1942 2969 3836 3884 5938 6797 7672 7768 11876 13594 20783 23752 27188 41566 54376 83132 133027 166264 266054 406753 532108 813506 931189 1064216 1627012 1862378 2847271 2882899 3254024 3724756 5694542 5765798 7449512 11389084 11531596 20180293 22778168 23063192 40360586 80721172 161442344 394957163 789914326 1579828652 2764700141 3159657304 5529400282 11058800564 22117601128