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22928672 = 251355117
BaseRepresentation
bin101011101110…
…1110100100000
31121010220020002
41113131310200
521332204142
62135235132
7365614304
oct127356440
947126202
1022928672
1111a40718
127818aa8
13499a480
14308bd04
15202da32
hex15ddd20

22928672 has 24 divisors (see below), whose sum is σ = 48614076. Its totient is φ = 10582272.

The previous prime is 22928671. The next prime is 22928681. The reversal of 22928672 is 27682922.

It can be written as a sum of positive squares in 2 ways, for example, as 22619536 + 309136 = 4756^2 + 556^2 .

It is not an unprimeable number, because it can be changed into a prime (22928671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27143 + ... + 27974.

Almost surely, 222928672 is an apocalyptic number.

It is an amenable number.

22928672 is an abundant number, since it is smaller than the sum of its proper divisors (25685404).

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

22928672 is a wasteful number, since it uses less digits than its factorization.

22928672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55140 (or 55132 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 22928672 is about 4788.3892907741. The cubic root of 22928672 is about 284.0924119023.

The spelling of 22928672 in words is "twenty-two million, nine hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 55117 110234 220468 440936 716521 881872 1433042 1763744 2866084 5732168 11464336 22928672