222254400 has 168 divisors, whose sum is σ = 767872480. Its totient is φ = 56125440.

The previous prime is 222254377. The next prime is 222254437. The reversal of 222254400 is 4452222.

222254400 is digitally balanced in base 2, because in such base 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, 89982 + ... + 92418.

Almost surely, 2^222254400 is an apocalyptic number.

222254400 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 222254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383936240).

222254400 is an abundant number, since it is smaller than the sum of its proper divisors (545618080).

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

222254400 is a wasteful number, since it uses less digits than its factorization.

222254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 222254400 is about 14908.1990864088. The cubic root of 222254400 is about 605.7360983177.

The spelling of 222254400 in words is "two hundred twenty-two million, two hundred fifty-four thousand, four hundred".