222314400 has 432 divisors, whose sum is σ = 979812288. Its totient is φ = 46080000.

The previous prime is 222314381. The next prime is 222314413. The reversal of 222314400 is 4413222.

222314400 is a `hidden beast` number, since 2 + 223 + 1 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 554200 + ... + 554600.

It is an arithmetic number, because the mean of its divisors is an integer number (2268084).

Almost surely, 2^222314400 is an apocalyptic number.

222314400 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 222314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489906144).

222314400 is an abundant number, since it is smaller than the sum of its proper divisors (757497888).

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

222314400 is a wasteful number, since it uses less digits than its factorization.

222314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 222314400 is about 14910.2112661089. The cubic root of 222314400 is about 605.7906017694.

Adding to 222314400 its reverse (4413222), we get a palindrome (226727622).

The spelling of 222314400 in words is "two hundred twenty-two million, three hundred fourteen thousand, four hundred".