222122400 has 72 divisors (see below), whose sum is σ = 723016224. Its totient is φ = 59232000.

The previous prime is 222122399. The next prime is 222122401. The reversal of 222122400 is 4221222.

It is an interprime number because it is at equal distance from previous prime (222122399) and next prime (222122401).

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 222122400.

It is not an unprimeable number, because it can be changed into a prime (222122401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43876 + ... + 48675.

It is an arithmetic number, because the mean of its divisors is an integer number (10041892).

Almost surely, 2^222122400 is an apocalyptic number.

222122400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222122400 is an abundant number, since it is smaller than the sum of its proper divisors (500893824).

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

222122400 is a wasteful number, since it uses less digits than its factorization.

222122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92574 (or 92561 counting only the distinct ones).

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

The square root of 222122400 is about 14903.7713347998. The cubic root of 222122400 is about 605.6161561862.

Adding to 222122400 its reverse (4221222), we get a palindrome (226343622).

The spelling of 222122400 in words is "two hundred twenty-two million, one hundred twenty-two thousand, four hundred".