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22685665680 = 2433589199593
BaseRepresentation
bin10101001000001010…
…111100100110010000
32011120000002012222000
4111020022330212100
5332430012300210
614231024314000
71432112655666
oct251012744620
964500065860
1022685665680
119691515437
124491472900
1321a6c12a22
141152c66c36
158cb91dac0
hex5482bc990

22685665680 has 320 divisors, whose sum is σ = 79548480000. Its totient is φ = 5941444608.

The previous prime is 22685665627. The next prime is 22685665721. The reversal of 22685665680 is 8656658622.

22685665680 is a `hidden beast` number, since 2 + 26 + 8 + 56 + 6 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38255464 + ... + 38256056.

It is an arithmetic number, because the mean of its divisors is an integer number (248589000).

Almost surely, 222685665680 is an apocalyptic number.

22685665680 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 22685665680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39774240000).

22685665680 is an abundant number, since it is smaller than the sum of its proper divisors (56862814320).

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

22685665680 is a wasteful number, since it uses less digits than its factorization.

22685665680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 22685665680 in words is "twenty-two billion, six hundred eighty-five million, six hundred sixty-five thousand, six hundred eighty".