222214400 has 54 divisors (see below), whose sum is σ = 550031202. Its totient is φ = 88883200.

The previous prime is 222214393. The next prime is 222214403. The reversal of 222214400 is 4412222.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 18524416 + 203689984 = 4304^2 + 14272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222214403) 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 5 ways as a sum of consecutive naturals, for example, 10961 + ... + 23760.

It is an arithmetic number, because the mean of its divisors is an integer number (10185763).

Almost surely, 2^222214400 is an apocalyptic number.

222214400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222214400 is an abundant number, since it is smaller than the sum of its proper divisors (327816802).

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

222214400 is an equidigital number, since it uses as much as digits as its factorization.

222214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34747 (or 34728 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 222214400 is about 14906.8574823804. The cubic root of 222214400 is about 605.6997572334.

Adding to 222214400 its reverse (4412222), we get a palindrome (226626622).

The spelling of 222214400 in words is "two hundred twenty-two million, two hundred fourteen thousand, four hundred".