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22628164 = 22131937619
BaseRepresentation
bin101011001010…
…0011101000100
31120120122000011
41112110131010
521243100124
62125000004
7363223216
oct126243504
946518004
1022628164
1111855969
1276b3004
1348c3760
1430105b6
151ebe994
hex1594744

22628164 has 48 divisors (see below), whose sum is σ = 46177600. Its totient is φ = 9611136.

The previous prime is 22628131. The next prime is 22628231. The reversal of 22628164 is 46182622.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 36247 + ... + 36865.

Almost surely, 222628164 is an apocalyptic number.

It is an amenable number.

22628164 is an abundant number, since it is smaller than the sum of its proper divisors (23549436).

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

22628164 is a wasteful number, since it uses less digits than its factorization.

22628164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 690 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 22628164 is about 4756.9069782791. The cubic root of 22628164 is about 282.8458249488.

The spelling of 22628164 in words is "twenty-two million, six hundred twenty-eight thousand, one hundred sixty-four".

Divisors: 1 2 4 13 19 26 37 38 52 74 76 148 247 481 494 619 703 962 988 1238 1406 1924 2476 2812 8047 9139 11761 16094 18278 22903 23522 32188 36556 45806 47044 91612 152893 297739 305786 435157 595478 611572 870314 1190956 1740628 5657041 11314082 22628164