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21999830560 = 2551761671979
BaseRepresentation
bin10100011111010010…
…101100011000100000
32002210012120012001021
4110133102230120200
5330023424034220
614035004415224
71406114321461
oct243722543040
962705505037
1021999830560
11936a370354
12431b847514
1320c7ac2b26
1410c9b38d68
1588b5e84aa
hex51f4ac620

21999830560 has 192 divisors, whose sum is σ = 56797614720. Its totient is φ = 8020869120.

The previous prime is 21999830557. The next prime is 21999830617. The reversal of 21999830560 is 6503899912.

It is a junction number, because it is equal to n+sod(n) for n = 21999830498 and 21999830507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11115651 + ... + 11117629.

It is an arithmetic number, because the mean of its divisors is an integer number (295820910).

Almost surely, 221999830560 is an apocalyptic number.

21999830560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21999830560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28398807360).

21999830560 is an abundant number, since it is smaller than the sum of its proper divisors (34797784160).

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

21999830560 is a wasteful number, since it uses less digits than its factorization.

21999830560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 52.

The spelling of 21999830560 in words is "twenty-one billion, nine hundred ninety-nine million, eight hundred thirty thousand, five hundred sixty".