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22788790560 = 2533541128663
BaseRepresentation
bin10101001110010100…
…010101100100100000
32011211012010111201000
4111032110111210200
5333132412244220
614245150512000
71434504344424
oct251624254440
964735114630
1022788790560
119734750708
1244bbb05600
1321c23ab973
14116282cb84
158d59de390
hex54e515920

22788790560 has 192 divisors, whose sum is σ = 81706786560. Its totient is φ = 5928744960.

The previous prime is 22788790543. The next prime is 22788790709. The reversal of 22788790560 is 6509788722.

It is a happy number.

22788790560 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 8 + 79 + 0 + 560 = 666.

It is a super-2 number, since 2×227887905602 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22788790497 and 22788790506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112789 + ... + 241451.

It is an arithmetic number, because the mean of its divisors is an integer number (425556180).

Almost surely, 222788790560 is an apocalyptic number.

22788790560 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 22788790560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40853393280).

22788790560 is an abundant number, since it is smaller than the sum of its proper divisors (58917996000).

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

22788790560 is a wasteful number, since it uses less digits than its factorization.

22788790560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128728 (or 128714 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 22788790560 in words is "twenty-two billion, seven hundred eighty-eight million, seven hundred ninety thousand, five hundred sixty".