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22923144 = 2332318377
BaseRepresentation
bin101011101110…
…0011110001000
31121010121122100
41113130132020
521332020034
62135153400
7365562216
oct127343610
947117570
1022923144
1111a37552
127815860
134997aba
143089cb6
15202c099
hex15dc788

22923144 has 24 divisors (see below), whose sum is σ = 62083710. Its totient is φ = 7641024.

The previous prime is 22923143. The next prime is 22923161. The reversal of 22923144 is 44132922.

It can be written as a sum of positive squares in only one way, i.e., 21068100 + 1855044 = 4590^2 + 1362^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (22923143) 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 5 ways as a sum of consecutive naturals, for example, 159117 + ... + 159260.

Almost surely, 222923144 is an apocalyptic number.

22923144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22923144 is an abundant number, since it is smaller than the sum of its proper divisors (39160566).

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

22923144 is a wasteful number, since it uses less digits than its factorization.

22923144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318389 (or 318382 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 22923144 is about 4787.8120263853. The cubic root of 22923144 is about 284.0695789317.

The spelling of 22923144 in words is "twenty-two million, nine hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 318377 636754 955131 1273508 1910262 2547016 2865393 3820524 5730786 7641048 11461572 22923144