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22054425120 = 2533571356101
BaseRepresentation
bin10100100010100010…
…111101001000100000
32002221000021212201000
4110202202331020200
5330131413100440
614044234512000
71410346343340
oct244242751040
962830255630
1022054425120
11939816a022
124335b95600
1321061c95c0
1410d30aad20
158912ce730
hex5228bd220

22054425120 has 384 divisors, whose sum is σ = 95005370880. Its totient is φ = 4653158400.

The previous prime is 22054425109. The next prime is 22054425191. The reversal of 22054425120 is 2152445022.

22054425120 is a `hidden beast` number, since 2 + 205 + 442 + 5 + 12 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365070 + ... + 421170.

It is an arithmetic number, because the mean of its divisors is an integer number (247409820).

Almost surely, 222054425120 is an apocalyptic number.

22054425120 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 22054425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47502685440).

22054425120 is an abundant number, since it is smaller than the sum of its proper divisors (72950945760).

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

22054425120 is a wasteful number, since it uses less digits than its factorization.

22054425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56145 (or 56131 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 22054425120 in words is "twenty-two billion, fifty-four million, four hundred twenty-five thousand, one hundred twenty".