222591120 has 80 divisors (see below), whose sum is σ = 691985472. Its totient is φ = 59189760.

The previous prime is 222591113. The next prime is 222591121. The reversal of 222591120 is 21195222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (222591121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99939 + ... + 102141.

Almost surely, 2^222591120 is an apocalyptic number.

222591120 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 222591120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345992736).

222591120 is an abundant number, since it is smaller than the sum of its proper divisors (469394352).

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

222591120 is a wasteful number, since it uses less digits than its factorization.

222591120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 222591120 is about 14919.4879268693. The cubic root of 222591120 is about 606.0418448596.

The spelling of 222591120 in words is "two hundred twenty-two million, five hundred ninety-one thousand, one hundred twenty".