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22157712000 = 27355341139
BaseRepresentation
bin10100101000101100…
…111101101010000000
32010012012122101200000
4110220230331222000
5330334333241000
614102404400000
71413042305304
oct245054755200
963165571600
1022157712000
1194404a5a86
1243646a6000
1321217211b8
141102ab5d04
1589a3d3000
hex528b3da80

22157712000 has 768 divisors, whose sum is σ = 85141929600. Its totient is φ = 5723136000.

The previous prime is 22157711969. The next prime is 22157712001. The reversal of 22157712000 is 21775122.

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

It is not an unprimeable number, because it can be changed into a prime (22157712001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159407931 + ... + 159408069.

Almost surely, 222157712000 is an apocalyptic number.

22157712000 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 22157712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42570964800).

22157712000 is an abundant number, since it is smaller than the sum of its proper divisors (62984217600).

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

22157712000 is an equidigital number, since it uses as much as digits as its factorization.

22157712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 22157712000 in words is "twenty-two billion, one hundred fifty-seven million, seven hundred twelve thousand".