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22055016960 = 29345314773
BaseRepresentation
bin10100100010100101…
…001101101000000000
32002221001101221120000
4110202211031220000
5330132041020320
614044255320000
71410354356664
oct244245155000
962831357500
1022055016960
119398533749
124336220000
132106375ac2
1410d31c28a4
15891399c90
hex52294da00

22055016960 has 800 divisors, whose sum is σ = 84418025472. Its totient is φ = 5494210560.

The previous prime is 22055016937. The next prime is 22055016961. The reversal of 22055016960 is 6961055022.

22055016960 is a `hidden beast` number, since 2 + 2 + 0 + 550 + 16 + 96 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22055016961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 302123484 + ... + 302123556.

Almost surely, 222055016960 is an apocalyptic number.

22055016960 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 22055016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42209012736).

22055016960 is an abundant number, since it is smaller than the sum of its proper divisors (62363008512).

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

22055016960 is an equidigital number, since it uses as much as digits as its factorization.

22055016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 22055016960 in words is "twenty-two billion, fifty-five million, sixteen thousand, nine hundred sixty".