222204444800 has 216 divisors, whose sum is σ = 595315344645. Its totient is φ = 81916723200.

The previous prime is 222204444799. The next prime is 222204444823. The reversal of 222204444800 is 8444402222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 920758336 + 221283686464 = 30344^2 + 470408^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=333320.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 346652480 + ... + 346653120.

Almost surely, 2^222204444800 is an apocalyptic number.

222204444800 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 222204444800

222204444800 is an abundant number, since it is smaller than the sum of its proper divisors (373110899845).

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

222204444800 is an frugal number, since it uses more digits than its factorization.

222204444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Multiplying 222204444800 by its sum of digits (32), we get a square (7110542233600 = 2666560²).

222204444800 divided by its sum of digits (32) gives a square (6943888900 = 83330²).

The spelling of 222204444800 in words is "two hundred twenty-two billion, two hundred four million, four hundred forty-four thousand, eight hundred".