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22071994560 = 2634571111059
BaseRepresentation
bin10100100011100101…
…111110100011000000
32002222020100111110000
4110203211332203000
5330200412311220
614050103240000
71410651600240
oct244345764300
962866314400
1022071994560
1193a707a220
12433ba49000
132109a3b615
1410d5561b20
15892b00390
hex52397e8c0

22071994560 has 560 divisors, whose sum is σ = 97896395520. Its totient is φ = 4585973760.

The previous prime is 22071994547. The next prime is 22071994579. The reversal of 22071994560 is 6549917022.

22071994560 is a `hidden beast` number, since 2 + 2 + 0 + 7 + 199 + 456 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1990311 + ... + 2001369.

It is an arithmetic number, because the mean of its divisors is an integer number (174814992).

Almost surely, 222071994560 is an apocalyptic number.

22071994560 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 22071994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48948197760).

22071994560 is an abundant number, since it is smaller than the sum of its proper divisors (75824400960).

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

22071994560 is a wasteful number, since it uses less digits than its factorization.

22071994560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11106 (or 11087 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 22071994560 in words is "twenty-two billion, seventy-one million, nine hundred ninety-four thousand, five hundred sixty".