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23232 = 263112
BaseRepresentation
bin101101011000000
31011212110
411223000
51220412
6255320
7124506
oct55300
934773
1023232
1116500
1211540
13a761
148676
156d3c
hex5ac0

23232 has 42 divisors (see below), whose sum is σ = 67564. Its totient is φ = 7040.

The previous prime is 23227. The next prime is 23251.

Subtracting from 23232 its sum of digits (12), we obtain a triangular number (23220 = T215).

Multipling 23232 by its sum of digits (12), we get a square (278784 = 5282).

23232 divided by its sum of digits (12) gives a square (1936 = 442).

23232 is nontrivially palindromic in base 10.

23232 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 22 + 33 + 28 + 38 + 214 .

It is an alternating number because its digits alternate between even and odd.

23232 is an undulating number in base 10.

It is a nialpdrome in base 8 and base 13.

It is an unprimeable number.

23232 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2107 + ... + 2117.

223232 is an apocalyptic number.

23232 is a gapful number since it is divisible by the number (22) 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 23232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33782).

23232 is an abundant number, since it is smaller than the sum of its proper divisors (44332).

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

23232 is a wasteful number, since it uses less digits than its factorization.

23232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 16 counting only the distinct ones).

The product of its digits is 72, while the sum is 12.

The square root of 23232 is about 152.4204710661. The cubic root of 23232 is about 28.5339699589.

The spelling of 23232 in words is "twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1452 1936 2112 2904 3872 5808 7744 11616 23232