22182832 has 80 divisors (see below), whose sum is σ = 51907392. Its totient is φ = 8985600.

The previous prime is 22182827. The next prime is 22182847. The reversal of 22182832 is 23828122.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 22182832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219582 + ... + 219682.

Almost surely, 2^22182832 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 22182832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25953696).

22182832 is an abundant number, since it is smaller than the sum of its proper divisors (29724560).

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

22182832 is a wasteful number, since it uses less digits than its factorization.

22182832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 22182832 is about 4709.8653908578. The cubic root of 22182832 is about 280.9780085203.

It can be divided in two parts, 2218 and 2832, that added together give a triangular number (5050 = T₁₀₀).

The spelling of 22182832 in words is "twenty-two million, one hundred eighty-two thousand, eight hundred thirty-two".