222960400 has 120 divisors (see below), whose sum is σ = 588477960. Its totient is φ = 80670720.

The previous prime is 222960391. The next prime is 222960443. The reversal of 222960400 is 4069222.

It can be written as a sum of positive squares in 12 ways, for example, as 33732864 + 189227536 = 5808^2 + 13756^2 .

It is a super-2 number, since 2×222960400² = 99422679936320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 275196 + ... + 276004.

It is an arithmetic number, because the mean of its divisors is an integer number (4903983).

Almost surely, 2^222960400 is an apocalyptic number.

222960400 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 222960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294238980).

222960400 is an abundant number, since it is smaller than the sum of its proper divisors (365517560).

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

222960400 is a wasteful number, since it uses less digits than its factorization.

222960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 222960400 is about 14931.8585581300. The cubic root of 222960400 is about 606.3768020449.

The spelling of 222960400 in words is "two hundred twenty-two million, nine hundred sixty thousand, four hundred".