225331522400 has 72 divisors (see below), whose sum is σ = 552077008560. Its totient is φ = 89807132160.

The previous prime is 225331522373. The next prime is 225331522411. The reversal of 225331522400 is 4225133522.

225331522400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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, 286820 + ... + 730019.

It is an arithmetic number, because the mean of its divisors is an integer number (7667736230).

Almost surely, 2^225331522400 is an apocalyptic number.

225331522400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225331522400 is an abundant number, since it is smaller than the sum of its proper divisors (326745486160).

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

225331522400 is a wasteful number, since it uses less digits than its factorization.

225331522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017136 (or 1017123 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 225331522400 its reverse (4225133522), we get a palindrome (229556655922).

The spelling of 225331522400 in words is "two hundred twenty-five billion, three hundred thirty-one million, five hundred twenty-two thousand, four hundred".