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22425525360 = 24325737532269
BaseRepresentation
bin10100111000101010…
…100101110001110000
32010212212120201112100
4110320222211301300
5331411413302420
614145132500400
71422503551260
oct247052456160
963785521470
1022425525360
119568696137
12441a31a700
13216505c944
14112a4ab7a0
158b3b85190
hex538aa5c70

22425525360 has 480 divisors, whose sum is σ = 90105125760. Its totient is φ = 4891041792.

The previous prime is 22425525349. The next prime is 22425525377. The reversal of 22425525360 is 6352552422.

22425525360 is a `hidden beast` number, since 2 + 2 + 42 + 552 + 5 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9882306 + ... + 9884574.

It is an arithmetic number, because the mean of its divisors is an integer number (187719012).

Almost surely, 222425525360 is an apocalyptic number.

22425525360 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 22425525360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45052562880).

22425525360 is an abundant number, since it is smaller than the sum of its proper divisors (67679600400).

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

22425525360 is a wasteful number, since it uses less digits than its factorization.

22425525360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 22425525360 in words is "twenty-two billion, four hundred twenty-five million, five hundred twenty-five thousand, three hundred sixty".