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22542 = 2313172
BaseRepresentation
bin101100000001110
31010220220
411200032
51210132
6252210
7122502
oct54016
933826
1022542
1115a33
1211066
13a350
148302
156a2c
hex580e

22542 has 24 divisors (see below), whose sum is σ = 51576. Its totient is φ = 6528.

The previous prime is 22541. The next prime is 22543. The reversal of 22542 is 24522.

It is an interprime number because it is at equal distance from previous prime (22541) and next prime (22543).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1318 + ... + 1334.

It is an arithmetic number, because the mean of its divisors is an integer number (2149).

222542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25788).

22542 is an abundant number, since it is smaller than the sum of its proper divisors (29034).

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

22542 is a wasteful number, since it uses less digits than its factorization.

22542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 35 counting only the distinct ones).

The product of its digits is 160, while the sum is 15.

The square root of 22542 is about 150.1399347276. The cubic root of 22542 is about 28.2486359537.

The spelling of 22542 in words is "twenty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 289 442 578 663 867 1326 1734 3757 7514 11271 22542