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22195105056 = 25331910931237
BaseRepresentation
bin10100101010111011…
…100110110100100000
32010021211000011022000
4110222323212310200
5330423421330211
614110222044000
71414005165045
oct245273466440
963254004260
1022195105056
11945a615a33
124375119600
1321293b4277
141107a4b1cc
1589d81c656
hex52aee6d20

22195105056 has 192 divisors, whose sum is σ = 68260348800. Its totient is φ = 6996907008.

The previous prime is 22195105043. The next prime is 22195105057. The reversal of 22195105056 is 65050159122.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22195105056.

It is not an unprimeable number, because it can be changed into a prime (22195105057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17942070 + ... + 17943306.

It is an arithmetic number, because the mean of its divisors is an integer number (355522650).

Almost surely, 222195105056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22195105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34130174400).

22195105056 is an abundant number, since it is smaller than the sum of its proper divisors (46065243744).

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

22195105056 is a wasteful number, since it uses less digits than its factorization.

22195105056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 22195105056 in words is "twenty-two billion, one hundred ninety-five million, one hundred five thousand, fifty-six".