222986304 has 112 divisors (see below), whose sum is σ = 671007040. Its totient is φ = 72576000.

The previous prime is 222986303. The next prime is 222986321. The reversal of 222986304 is 403689222.

222986304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (222986303) 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, 72804 + ... + 75804.

Almost surely, 2^222986304 is an apocalyptic number.

222986304 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 222986304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335503520).

222986304 is an abundant number, since it is smaller than the sum of its proper divisors (448020736).

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

222986304 is a wasteful number, since it uses less digits than its factorization.

222986304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 222986304 is about 14932.7259400285. The cubic root of 222986304 is about 606.4002845055.

The spelling of 222986304 in words is "two hundred twenty-two million, nine hundred eighty-six thousand, three hundred four".