222350400 has 168 divisors, whose sum is σ = 810707040. Its totient is φ = 59281920.

The previous prime is 222350341. The next prime is 222350411. The reversal of 222350400 is 4053222.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40627 + ... + 45773.

Almost surely, 2^222350400 is an apocalyptic number.

222350400 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 222350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405353520).

222350400 is an abundant number, since it is smaller than the sum of its proper divisors (588356640).

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

222350400 is a wasteful number, since it uses less digits than its factorization.

222350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5178 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 222350400 is about 14911.4184435955. The cubic root of 222350400 is about 605.8232991335.

The spelling of 222350400 in words is "two hundred twenty-two million, three hundred fifty thousand, four hundred".