222416800 has 72 divisors (see below), whose sum is σ = 556300332. Its totient is φ = 86784000.

The previous prime is 222416791. The next prime is 222416813. The reversal of 222416800 is 8614222.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 23155344 + 199261456 = 4812^2 + 14116^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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, 29410 + ... + 36190.

Almost surely, 2^222416800 is an apocalyptic number.

222416800 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 222416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278150166).

222416800 is an abundant number, since it is smaller than the sum of its proper divisors (333883532).

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

222416800 is a wasteful number, since it uses less digits than its factorization.

222416800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6842 (or 6829 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 222416800 is about 14913.6447590788. The cubic root of 222416800 is about 605.8835983481.

The spelling of 222416800 in words is "two hundred twenty-two million, four hundred sixteen thousand, eight hundred".