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22080453120 = 2933511113257
BaseRepresentation
bin10100100100000110…
…001111101000000000
32002222211021020102000
4110210012033220000
5330210043444440
614051004424000
71411113516615
oct244406175000
962884236360
1022080453120
119400927270
124342848000
13210b71069b
1410d672450c
15893721730
hex52418fa00

22080453120 has 640 divisors, whose sum is σ = 86654810880. Its totient is φ = 5284823040.

The previous prime is 22080453019. The next prime is 22080453133. The reversal of 22080453120 is 2135408022.

22080453120 is a `hidden beast` number, since 2 + 208 + 0 + 453 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85916032 + ... + 85916288.

It is an arithmetic number, because the mean of its divisors is an integer number (135398142).

Almost surely, 222080453120 is an apocalyptic number.

22080453120 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 22080453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43327405440).

22080453120 is an abundant number, since it is smaller than the sum of its proper divisors (64574357760).

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

22080453120 is a wasteful number, since it uses less digits than its factorization.

22080453120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 22080453120 in words is "twenty-two billion, eighty million, four hundred fifty-three thousand, one hundred twenty".