22132224 has 80 divisors (see below), whose sum is σ = 65553840. Its totient is φ = 7372800.

The previous prime is 22132223. The next prime is 22132237. The reversal of 22132224 is 42223122.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22132197 and 22132206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13024 + ... + 14624.

It is an arithmetic number, because the mean of its divisors is an integer number (819423).

Almost surely, 2^22132224 is an apocalyptic number.

22132224 is a gapful number since it is divisible by the number (24) 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 22132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32776920).

22132224 is an abundant number, since it is smaller than the sum of its proper divisors (43421616).

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

22132224 is an equidigital number, since it uses as much as digits as its factorization.

22132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1606 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 22132224 is about 4704.4897704214. The cubic root of 22132224 is about 280.7641710440.

Adding to 22132224 its reverse (42223122), we get a palindrome (64355346).

The spelling of 22132224 in words is "twenty-two million, one hundred thirty-two thousand, two hundred twenty-four".