22032 has 50 divisors (see below), whose sum is σ = 67518. Its totient is φ = 6912.

The previous prime is 22031. The next prime is 22037. The reversal of 22032 is 23022.

It can be written as a sum of positive squares in only one way, i.e., 20736 + 1296 = 144^2 + 36^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 22032.

It is not an unprimeable number, because it can be changed into a prime (22031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1288 + ... + 1304.

2²²⁰³² 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 22032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33759).

22032 is an abundant number, since it is smaller than the sum of its proper divisors (45486).

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

22032 is a wasteful number, since it uses less digits than its factorization.

22032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 22032 is about 148.4318025222. The cubic root of 22032 is about 28.0339723701.

Adding to 22032 its reverse (23022), we get a palindrome (45054).

Subtracting 22032 from its reverse (23022), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 220 and 32, that added together give a palindrome (252).

The spelling of 22032 in words is "twenty-two thousand, thirty-two".