225947680 has 96 divisors (see below), whose sum is σ = 645998976. Its totient is φ = 72904704.

The previous prime is 225947633. The next prime is 225947693. The reversal of 225947680 is 86749522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13107 + ... + 24973.

It is an arithmetic number, because the mean of its divisors is an integer number (6729156).

Almost surely, 2^225947680 is an apocalyptic number.

225947680 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 225947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322999488).

225947680 is an abundant number, since it is smaller than the sum of its proper divisors (420051296).

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

225947680 is a wasteful number, since it uses less digits than its factorization.

225947680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11906 (or 11898 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 225947680 is about 15031.5561403336. The cubic root of 225947680 is about 609.0729266109.

The spelling of 225947680 in words is "two hundred twenty-five million, nine hundred forty-seven thousand, six hundred eighty".