222500450132400 has 240 divisors, whose sum is σ = 779536766810880. Its totient is φ = 53800839859200.

The previous prime is 222500450132377. The next prime is 222500450132413. The reversal of 222500450132400 is 4231054005222.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16531132 + ... + 26800731.

It is an arithmetic number, because the mean of its divisors is an integer number (3248069861712).

Almost surely, 2^{222500450132400} is an apocalyptic number.

222500450132400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222500450132400 is an abundant number, since it is smaller than the sum of its proper divisors (557036316678480).

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

222500450132400 is a wasteful number, since it uses less digits than its factorization.

222500450132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43332284 (or 43332273 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 222500450132400 in words is "two hundred twenty-two trillion, five hundred billion, four hundred fifty million, one hundred thirty-two thousand, four hundred".