222885600 has 144 divisors (see below), whose sum is σ = 829196928. Its totient is φ = 50941440.

The previous prime is 222885581. The next prime is 222885631. The reversal of 222885600 is 6588222.

222885600 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10167 + ... + 23433.

It is an arithmetic number, because the mean of its divisors is an integer number (5758312).

Almost surely, 2^222885600 is an apocalyptic number.

222885600 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 222885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414598464).

222885600 is an abundant number, since it is smaller than the sum of its proper divisors (606311328).

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

222885600 is a wasteful number, since it uses less digits than its factorization.

222885600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13297 (or 13284 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 222885600 is about 14929.3536363769. The cubic root of 222885600 is about 606.3089842352.

The spelling of 222885600 in words is "two hundred twenty-two million, eight hundred eighty-five thousand, six hundred".