225200454322400 has 72 divisors (see below), whose sum is σ = 554908652401320. Its totient is φ = 89238310837760.

The previous prime is 225200454322387. The next prime is 225200454322423. The reversal of 225200454322400 is 4223454002522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1315337615 + ... + 1315508814.

It is an arithmetic number, because the mean of its divisors is an integer number (7707064616685).

Almost surely, 2^{225200454322400} is an apocalyptic number.

225200454322400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225200454322400 is an abundant number, since it is smaller than the sum of its proper divisors (329708198078920).

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

225200454322400 is a wasteful number, since it uses less digits than its factorization.

225200454322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630846556 (or 2630846543 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

The spelling of 225200454322400 in words is "two hundred twenty-five trillion, two hundred billion, four hundred fifty-four million, three hundred twenty-two thousand, four hundred".