222305920 has 64 divisors (see below), whose sum is σ = 534961440. Its totient is φ = 88335360.

The previous prime is 222305893. The next prime is 222305939. The reversal of 222305920 is 29503222.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103255 + ... + 105385.

Almost surely, 2^222305920 is an apocalyptic number.

222305920 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 222305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267480720).

222305920 is an abundant number, since it is smaller than the sum of its proper divisors (312655520).

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

222305920 is a wasteful number, since it uses less digits than its factorization.

222305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 222305920 is about 14909.9268945223. The cubic root of 222305920 is about 605.7828992100.

The spelling of 222305920 in words is "two hundred twenty-two million, three hundred five thousand, nine hundred twenty".