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22652 = 227809
BaseRepresentation
bin101100001111100
31011001222
411201330
51211102
6252512
7123020
oct54174
934058
1022652
1116023
1211138
13a406
148380
156aa2
hex587c

22652 has 12 divisors (see below), whose sum is σ = 45360. Its totient is φ = 9696.

The previous prime is 22651. The next prime is 22669. The reversal of 22652 is 25622.

22652 is an admirable number.

It is a super-2 number, since 2×226522 = 1026226208, which contains 22 as substring.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 22652.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 22652.

It is not an unprimeable number, because it can be changed into a prime (22651) 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, 377 + ... + 432.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

222652 is an apocalyptic number.

It is an amenable number.

22652 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680).

22652 is a wasteful number, since it uses less digits than its factorization.

22652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 818 counting only the distinct ones).

The product of its digits is 240, while the sum is 17.

The square root of 22652 is about 150.5058138412. The cubic root of 22652 is about 28.2945104578.

The spelling of 22652 in words is "twenty-two thousand, six hundred fifty-two".

Divisors: 1 2 4 7 14 28 809 1618 3236 5663 11326 22652