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22754664 = 2332316037
BaseRepresentation
bin101011011001…
…1010101101000
31120211001112100
41112303111220
521311122124
62131413400
7364261062
oct126632550
946731470
1022754664
1111931a09
127754260
1349391ca
143044732
151ee71c9
hex15b3568

22754664 has 24 divisors (see below), whose sum is σ = 61627410. Its totient is φ = 7584864.

The previous prime is 22754639. The next prime is 22754671. The reversal of 22754664 is 46645722.

It can be written as a sum of positive squares in only one way, i.e., 22752900 + 1764 = 4770^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 157947 + ... + 158090.

Almost surely, 222754664 is an apocalyptic number.

22754664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22754664 is an abundant number, since it is smaller than the sum of its proper divisors (38872746).

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

22754664 is a wasteful number, since it uses less digits than its factorization.

22754664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316049 (or 316042 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 22754664 is about 4770.1849020766. The cubic root of 22754664 is about 283.3719175443.

The spelling of 22754664 in words is "twenty-two million, seven hundred fifty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 316037 632074 948111 1264148 1896222 2528296 2844333 3792444 5688666 7584888 11377332 22754664