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22649364 = 22324331453
BaseRepresentation
bin101011001100…
…1101000010100
31120121201002100
41112121220110
521244234424
62125242100
7363342063
oct126315024
946551070
1022649364
111186a891
127703330
1349002ba
1430181da
151ec5dc9
hex1599a14

22649364 has 36 divisors (see below), whose sum is σ = 57424276. Its totient is φ = 7527168.

The previous prime is 22649359. The next prime is 22649371. The reversal of 22649364 is 46394622.

22649364 is a `hidden beast` number, since 2 + 2 + 649 + 3 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13395600 + 9253764 = 3660^2 + 3042^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 14862 + ... + 16314.

Almost surely, 222649364 is an apocalyptic number.

It is an amenable number.

22649364 is an abundant number, since it is smaller than the sum of its proper divisors (34774912).

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

22649364 is a wasteful number, since it uses less digits than its factorization.

22649364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1891 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 22649364 is about 4759.1347953173. The cubic root of 22649364 is about 282.9341287670.

It can be divided in two parts, 2264 and 9364, that added together give a triangular number (11628 = T152).

The spelling of 22649364 in words is "twenty-two million, six hundred forty-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 433 866 1299 1453 1732 2598 2906 3897 4359 5196 5812 7794 8718 13077 15588 17436 26154 52308 629149 1258298 1887447 2516596 3774894 5662341 7549788 11324682 22649364