222265344 has 256 divisors, whose sum is σ = 754963200. Its totient is φ = 56623104.

The previous prime is 222265343. The next prime is 222265403. The reversal of 222265344 is 443562222.

It is a tau number, because it is divible by the number of its divisors (256).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (23040) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222265343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11698167 + ... + 11698185.

It is an arithmetic number, because the mean of its divisors is an integer number (2949075).

Almost surely, 2^222265344 is an apocalyptic number.

222265344 is a gapful number since it is divisible by the number (24) 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 222265344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377481600).

222265344 is an abundant number, since it is smaller than the sum of its proper divisors (532697856).

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

222265344 is an equidigital number, since it uses as much as digits as its factorization.

222265344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 48 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 222265344 is about 14908.5661282365. The cubic root of 222265344 is about 605.7460404787.

The spelling of 222265344 in words is "two hundred twenty-two million, two hundred sixty-five thousand, three hundred forty-four".