222755400 has 384 divisors, whose sum is σ = 899942400. Its totient is φ = 49593600.

The previous prime is 222755383. The next prime is 222755417. The reversal of 222755400 is 4557222.

222755400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (222755383) and next prime (222755417).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2683759 + ... + 2683841.

It is an arithmetic number, because the mean of its divisors is an integer number (2343600).

Almost surely, 2^222755400 is an apocalyptic number.

222755400 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 222755400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449971200).

222755400 is an abundant number, since it is smaller than the sum of its proper divisors (677187000).

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

222755400 is a wasteful number, since it uses less digits than its factorization.

222755400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 222755400 is about 14924.9924623097. The cubic root of 222755400 is about 606.1909015265.

The spelling of 222755400 in words is "two hundred twenty-two million, seven hundred fifty-five thousand, four hundred".