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22752 = 253279
BaseRepresentation
bin101100011100000
31011012200
411203200
51212002
6253200
7123222
oct54340
934180
1022752
1116104
1211200
13a482
148412
156b1c
hex58e0

22752 has 36 divisors (see below), whose sum is σ = 65520. Its totient is φ = 7488.

The previous prime is 22751. The next prime is 22769. The reversal of 22752 is 25722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 22752.

It is not an unprimeable number, because it can be changed into a prime (22751) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 249 + ... + 327.

It is an arithmetic number, because the mean of its divisors is an integer number (1820).

222752 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 22752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32760).

22752 is an abundant number, since it is smaller than the sum of its proper divisors (42768).

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

22752 is a wasteful number, since it uses less digits than its factorization.

22752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 84 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 22752 is about 150.8376610797. The cubic root of 22752 is about 28.3360858533.

Adding to 22752 its product of digits (280), we get a palindrome (23032).

The spelling of 22752 in words is "twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1896 2528 2844 3792 5688 7584 11376 22752