225724024140 has 96 divisors (see below), whose sum is σ = 638510186496. Its totient is φ = 59576290560.

The previous prime is 225724024129. The next prime is 225724024159. The reversal of 225724024140 is 41420427522.

It is a happy number.

225724024140 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12678645 + ... + 12696435.

It is an arithmetic number, because the mean of its divisors is an integer number (6651147776).

Almost surely, 2^225724024140 is an apocalyptic number.

225724024140 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 225724024140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319255093248).

225724024140 is an abundant number, since it is smaller than the sum of its proper divisors (412786162356).

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

225724024140 is a wasteful number, since it uses less digits than its factorization.

225724024140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19959 (or 19957 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 33.

The spelling of 225724024140 in words is "two hundred twenty-five billion, seven hundred twenty-four million, twenty-four thousand, one hundred forty".