225256273224 has 64 divisors (see below), whose sum is σ = 573564801600. Its totient is φ = 73699451136.

The previous prime is 225256273201. The next prime is 225256273241. The reversal of 225256273224 is 422372652522.

225256273224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802842 + ... + 1046454.

It is an arithmetic number, because the mean of its divisors is an integer number (8961950025).

Almost surely, 2^225256273224 is an apocalyptic number.

225256273224 is a gapful number since it is divisible by the number (24) 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 225256273224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286782400800).

225256273224 is an abundant number, since it is smaller than the sum of its proper divisors (348308528376).

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

225256273224 is a wasteful number, since it uses less digits than its factorization.

225256273224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244334 (or 244330 counting only the distinct ones).

The product of its digits is 806400, while the sum is 42.

The spelling of 225256273224 in words is "two hundred twenty-five billion, two hundred fifty-six million, two hundred seventy-three thousand, two hundred twenty-four".