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22008680800 = 255227510851
BaseRepresentation
bin10100011111110100…
…011101000101100000
32002210211012211021221
4110133310131011200
5330033210241200
614035522224424
71406252462101
oct243764350540
962724184257
1022008680800
1193743656a7
1243227b5114
1320c98a1262
1410cada03a8
1588c29591a
hex51fd1d160

22008680800 has 36 divisors (see below), whose sum is σ = 53728693956. Its totient is φ = 8803472000.

The previous prime is 22008680797. The next prime is 22008680819. The reversal of 22008680800 is 808680022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13754626 + ... + 13756225.

It is an arithmetic number, because the mean of its divisors is an integer number (1492463721).

Almost surely, 222008680800 is an apocalyptic number.

22008680800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22008680800 is an abundant number, since it is smaller than the sum of its proper divisors (31720013156).

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

22008680800 is a wasteful number, since it uses less digits than its factorization.

22008680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27510871 (or 27510858 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 22008680800 in words is "twenty-two billion, eight million, six hundred eighty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 27510851 55021702 110043404 137554255 220086808 275108510 440173616 550217020 687771275 880347232 1100434040 1375542550 2200868080 2751085100 4401736160 5502170200 11004340400 22008680800