22124320 has 48 divisors (see below), whose sum is σ = 53275320. Its totient is φ = 8679424.

The previous prime is 22124309. The next prime is 22124339. The reversal of 22124320 is 2342122.

It can be written as a sum of positive squares in 4 ways, for example, as 19395216 + 2729104 = 4404^2 + 1652^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22124294 and 22124303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7176 + ... + 9784.

Almost surely, 2^22124320 is an apocalyptic number.

22124320 is a gapful number since it is divisible by the number (20) 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 22124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26637660).

22124320 is an abundant number, since it is smaller than the sum of its proper divisors (31151000).

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

22124320 is a wasteful number, since it uses less digits than its factorization.

22124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 22124320 is about 4703.6496468168. The cubic root of 22124320 is about 280.7307443049.

Adding to 22124320 its reverse (2342122), we get a palindrome (24466442).

The spelling of 22124320 in words is "twenty-two million, one hundred twenty-four thousand, three hundred twenty".