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22155080688 = 2433132734157
BaseRepresentation
bin10100101000100010…
…111011001111110000
32010012000200201012000
4110220202323033300
5330333200040223
614102232134000
71413011035656
oct245042731760
963160621160
1022155080688
119439a69044
124363837300
13212100c600
1411025ccdd6
1589a063543
hex5288bb3f0

22155080688 has 240 divisors, whose sum is σ = 69821468640. Its totient is φ = 6721947648.

The previous prime is 22155080683. The next prime is 22155080747. The reversal of 22155080688 is 88608055122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22155080681) 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 47 ways as a sum of consecutive naturals, for example, 5327506 + ... + 5331662.

It is an arithmetic number, because the mean of its divisors is an integer number (290922786).

Almost surely, 222155080688 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 22155080688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34910734320).

22155080688 is an abundant number, since it is smaller than the sum of its proper divisors (47666387952).

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

22155080688 is a wasteful number, since it uses less digits than its factorization.

22155080688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 22155080688 in words is "twenty-two billion, one hundred fifty-five million, eighty thousand, six hundred eighty-eight".