22838832 has 60 divisors (see below), whose sum is σ = 64318800. Its totient is φ = 7565184.

The previous prime is 22838831. The next prime is 22838843. The reversal of 22838832 is 23883822.

It is a super-2 number, since 2×22838832² = 1043224494248448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (22838831) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 28258 + ... + 29054.

It is an arithmetic number, because the mean of its divisors is an integer number (1071980).

Almost surely, 2^22838832 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 22838832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32159400).

22838832 is an abundant number, since it is smaller than the sum of its proper divisors (41479968).

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

22838832 is a wasteful number, since it uses less digits than its factorization.

22838832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1001 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 22838832 is about 4778.9990583803. Note that the first 3 decimals coincide. The cubic root of 22838832 is about 283.7208789743.

It can be divided in two parts, 228 and 38832, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 22838832 in words is "twenty-two million, eight hundred thirty-eight thousand, eight hundred thirty-two".