225670080 has 112 divisors (see below), whose sum is σ = 739713024. Its totient is φ = 58229760.

The previous prime is 225670069. The next prime is 225670097. The reversal of 225670080 is 80076522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 25969 + ... + 33551.

Almost surely, 2^225670080 is an apocalyptic number.

225670080 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 225670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369856512).

225670080 is an abundant number, since it is smaller than the sum of its proper divisors (514042944).

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

225670080 is a wasteful number, since it uses less digits than its factorization.

225670080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7634 (or 7624 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 225670080 is about 15022.3193948205. The cubic root of 225670080 is about 608.8233881112.

The spelling of 225670080 in words is "two hundred twenty-five million, six hundred seventy thousand, eighty".