22042400 has 72 divisors (see below), whose sum is σ = 54840240. Its totient is φ = 8648960.

The previous prime is 22042357. The next prime is 22042429. The reversal of 22042400 is 424022.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46967 + ... + 47433.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 2^22042400 is an apocalyptic number.

22042400 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 22042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27420120).

22042400 is an abundant number, since it is smaller than the sum of its proper divisors (32797840).

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

22042400 is a wasteful number, since it uses less digits than its factorization.

22042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 22042400 is about 4694.9334393578. The cubic root of 22042400 is about 280.3838273460.

Adding to 22042400 its reverse (424022), we get a palindrome (22466422).

It can be divided in two parts, 2 and 2042400, that added together give a palindrome (2042402).

The spelling of 22042400 in words is "twenty-two million, forty-two thousand, four hundred".