225703514080 has 192 divisors, whose sum is σ = 620709868800. Its totient is φ = 76688363520.

The previous prime is 225703514063. The next prime is 225703514093. The reversal of 225703514080 is 80415307522.

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, 2394891 + ... + 2487349.

It is an arithmetic number, because the mean of its divisors is an integer number (3232863900).

Almost surely, 2^225703514080 is an apocalyptic number.

225703514080 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 225703514080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310354934400).

225703514080 is an abundant number, since it is smaller than the sum of its proper divisors (395006354720).

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

225703514080 is a wasteful number, since it uses less digits than its factorization.

225703514080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92577 (or 92569 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The spelling of 225703514080 in words is "two hundred twenty-five billion, seven hundred three million, five hundred fourteen thousand, eighty".