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22944 = 253239
BaseRepresentation
bin101100110100000
31011110210
411212200
51213234
6254120
7123615
oct54640
934423
1022944
1116269
1211340
13a59c
14850c
156be9
hex59a0

22944 has 24 divisors (see below), whose sum is σ = 60480. Its totient is φ = 7616.

The previous prime is 22943. The next prime is 22961. The reversal of 22944 is 44922.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22943) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24 + ... + 215.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

222944 is an apocalyptic number.

22944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240).

22944 is an abundant number, since it is smaller than the sum of its proper divisors (37536).

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

22944 is a wasteful number, since it uses less digits than its factorization.

22944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 22944 is about 151.4727698301. The cubic root of 22944 is about 28.4155703815.

The spelling of 22944 in words is "twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 1434 1912 2868 3824 5736 7648 11472 22944