222566400 has 576 divisors, whose sum is σ = 974937600. Its totient is φ = 48660480.

The previous prime is 222566347. The next prime is 222566401. The reversal of 222566400 is 4665222.

222566400 is a `hidden beast` number, since 2 + 2 + 256 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222566401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9676789 + ... + 9676811.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 2^222566400 is an apocalyptic number.

222566400 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 222566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487468800).

222566400 is an abundant number, since it is smaller than the sum of its proper divisors (752371200).

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

222566400 is a wasteful number, since it uses less digits than its factorization.

222566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 222566400 is about 14918.6594572033. The cubic root of 222566400 is about 606.0194092401.

The spelling of 222566400 in words is "two hundred twenty-two million, five hundred sixty-six thousand, four hundred".