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22496 = 251937
BaseRepresentation
bin101011111100000
31010212012
411133200
51204441
6252052
7122405
oct53740
933765
1022496
11159a1
1211028
13a316
1482ac
1569eb
hex57e0

22496 has 24 divisors (see below), whose sum is σ = 47880. Its totient is φ = 10368.

The previous prime is 22483. The next prime is 22501. The reversal of 22496 is 69422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 590 + ... + 626.

It is an arithmetic number, because the mean of its divisors is an integer number (1995).

222496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23940).

22496 is an abundant number, since it is smaller than the sum of its proper divisors (25384).

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

22496 is a wasteful number, since it uses less digits than its factorization.

22496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 58 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 22496 is about 149.9866660740. The cubic root of 22496 is about 28.2294078143.

The spelling of 22496 in words is "twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 37 38 74 76 148 152 296 304 592 608 703 1184 1406 2812 5624 11248 22496