222304000 has 72 divisors (see below), whose sum is σ = 553866768. Its totient is φ = 88908800.

The previous prime is 222303967. The next prime is 222304013. The reversal of 222304000 is 403222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28527 + ... + 35473.

It is an arithmetic number, because the mean of its divisors is an integer number (7692594).

Almost surely, 2^222304000 is an apocalyptic number.

222304000 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 222304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276933384).

222304000 is an abundant number, since it is smaller than the sum of its proper divisors (331562768).

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

222304000 is an frugal number, since it uses more digits than its factorization.

222304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6978 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 222304000 is about 14909.8625077497. The cubic root of 222304000 is about 605.7811552071.

Adding to 222304000 its reverse (403222), we get a palindrome (222707222).

The spelling of 222304000 in words is "two hundred twenty-two million, three hundred four thousand".