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22500928 = 261720681
BaseRepresentation
bin101010111010…
…1011001000000
31120100011110201
41111311121000
521230012203
62122134544
7362153242
oct125653100
946304421
1022500928
111177930a
127651454
13487a878
142dba092
151e96e1d
hex1575640

22500928 has 28 divisors (see below), whose sum is σ = 47279052. Its totient is φ = 10588160.

The previous prime is 22500917. The next prime is 22500931. The reversal of 22500928 is 82900522.

It can be written as a sum of positive squares in 2 ways, for example, as 9193024 + 13307904 = 3032^2 + 3648^2 .

It is a super-2 number, since 2×225009282 = 1012583521722368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22500896 and 22500905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9253 + ... + 11428.

Almost surely, 222500928 is an apocalyptic number.

It is an amenable number.

22500928 is an abundant number, since it is smaller than the sum of its proper divisors (24778124).

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

22500928 is a wasteful number, since it uses less digits than its factorization.

22500928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20710 (or 20700 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 22500928 is about 4743.5143090329. The cubic root of 22500928 is about 282.3146898618.

The spelling of 22500928 in words is "twenty-two million, five hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 20681 41362 82724 165448 330896 351577 661792 703154 1323584 1406308 2812616 5625232 11250464 22500928