222118400 has 240 divisors, whose sum is σ = 655571136. Its totient is φ = 72990720.

The previous prime is 222118387. The next prime is 222118409. The reversal of 222118400 is 4811222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222118409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3315167 + ... + 3315233.

Almost surely, 2^222118400 is an apocalyptic number.

222118400 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 222118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327785568).

222118400 is an abundant number, since it is smaller than the sum of its proper divisors (433452736).

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

222118400 is an equidigital number, since it uses as much as digits as its factorization.

222118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 222118400 is about 14903.6371399736. The cubic root of 222118400 is about 605.6125208344.

Adding to 222118400 its reverse (4811222), we get a palindrome (226929622).

The spelling of 222118400 in words is "two hundred twenty-two million, one hundred eighteen thousand, four hundred".