222245224800 has 576 divisors, whose sum is σ = 771534618624. Its totient is φ = 55477094400.

The previous prime is 222245224783. The next prime is 222245224807. The reversal of 222245224800 is 8422542222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222245224807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406298127 + ... + 406298673.

It is an arithmetic number, because the mean of its divisors is an integer number (1339469824).

Almost surely, 2^222245224800 is an apocalyptic number.

222245224800 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 222245224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385767309312).

222245224800 is an abundant number, since it is smaller than the sum of its proper divisors (549289393824).

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

222245224800 is a wasteful number, since it uses less digits than its factorization.

222245224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

The spelling of 222245224800 in words is "two hundred twenty-two billion, two hundred forty-five million, two hundred twenty-four thousand, eight hundred".