222516120 has 64 divisors (see below), whose sum is σ = 668736000. Its totient is φ = 59232128.

The previous prime is 222516089. The next prime is 222516127. The reversal of 222516120 is 21615222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222516127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 84991 + ... + 87569.

It is an arithmetic number, because the mean of its divisors is an integer number (10449000).

Almost surely, 2^222516120 is an apocalyptic number.

222516120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222516120 is an abundant number, since it is smaller than the sum of its proper divisors (446219880).

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

222516120 is a wasteful number, since it uses less digits than its factorization.

222516120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 222516120 is about 14916.9742240174. The cubic root of 222516120 is about 605.9737704993.

The spelling of 222516120 in words is "two hundred twenty-two million, five hundred sixteen thousand, one hundred twenty".