222410400 has 72 divisors (see below), whose sum is σ = 723953664. Its totient is φ = 59308800.

The previous prime is 222410389. The next prime is 222410423. The reversal of 222410400 is 4014222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 222410400.

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, 43936 + ... + 48735.

It is an arithmetic number, because the mean of its divisors is an integer number (10054912).

Almost surely, 2^222410400 is an apocalyptic number.

222410400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222410400 is an abundant number, since it is smaller than the sum of its proper divisors (501543264).

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

222410400 is a wasteful number, since it uses less digits than its factorization.

222410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92694 (or 92681 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 222410400 is about 14913.4301889270. The cubic root of 222410400 is about 605.8777868983.

Adding to 222410400 its reverse (4014222), we get a palindrome (226424622).

The spelling of 222410400 in words is "two hundred twenty-two million, four hundred ten thousand, four hundred".