22400320 has 28 divisors (see below), whose sum is σ = 53341524. Its totient is φ = 8960000.

The previous prime is 22400303. The next prime is 22400327. The reversal of 22400320 is 2300422.

It can be written as a sum of positive squares in 2 ways, for example, as 14197824 + 8202496 = 3768^2 + 2864^2 .

It is a super-2 number, since 2×22400320² = 1003548672204800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22400320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22400327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34681 + ... + 35320.

Almost surely, 2^22400320 is an apocalyptic number.

22400320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22400320 is an abundant number, since it is smaller than the sum of its proper divisors (30941204).

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

22400320 is an equidigital number, since it uses as much as digits as its factorization.

22400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70018 (or 70008 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 22400320 is about 4732.8976325291. The cubic root of 22400320 is about 281.8932916188.

Adding to 22400320 its reverse (2300422), we get a palindrome (24700742).

The spelling of 22400320 in words is "twenty-two million, four hundred thousand, three hundred twenty".