225112080 has 160 divisors (see below), whose sum is σ = 731381760. Its totient is φ = 57208320.

The previous prime is 225112073. The next prime is 225112087. The reversal of 225112080 is 80211522.

It is a happy number.

225112080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225112073) and next prime (225112087).

It is not an unprimeable number, because it can be changed into a prime (225112087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587569 + ... + 587951.

It is an arithmetic number, because the mean of its divisors is an integer number (4571136).

Almost surely, 2^225112080 is an apocalyptic number.

225112080 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 225112080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365690880).

225112080 is an abundant number, since it is smaller than the sum of its proper divisors (506269680).

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

225112080 is a wasteful number, since it uses less digits than its factorization.

225112080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 225112080 is about 15003.7355348593. The cubic root of 225112080 is about 608.3211743780.

The spelling of 225112080 in words is "two hundred twenty-five million, one hundred twelve thousand, eighty".