225304438080 has 224 divisors, whose sum is σ = 797285842560. Its totient is φ = 53570764800.

The previous prime is 225304438057. The next prime is 225304438129. The reversal of 225304438080 is 80834403522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53221 + ... + 673380.

Almost surely, 2^225304438080 is an apocalyptic number.

225304438080 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 225304438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398642921280).

225304438080 is an abundant number, since it is smaller than the sum of its proper divisors (571981404480).

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

225304438080 is a wasteful number, since it uses less digits than its factorization.

225304438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726657 (or 726647 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 225304438080 in words is "two hundred twenty-five billion, three hundred four million, four hundred thirty-eight thousand, eighty".