222828320 has 96 divisors (see below), whose sum is σ = 618528960. Its totient is φ = 74787840.

The previous prime is 222828283. The next prime is 222828349. The reversal of 222828320 is 23828222.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18011 + ... + 27749.

It is an arithmetic number, because the mean of its divisors is an integer number (6443010).

Almost surely, 2^222828320 is an apocalyptic number.

222828320 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 222828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309264480).

222828320 is an abundant number, since it is smaller than the sum of its proper divisors (395700640).

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

222828320 is a wasteful number, since it uses less digits than its factorization.

222828320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9778 (or 9770 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 222828320 is about 14927.4351447260. The cubic root of 222828320 is about 606.2570407656.

The spelling of 222828320 in words is "two hundred twenty-two million, eight hundred twenty-eight thousand, three hundred twenty".