225969680 has 20 divisors (see below), whose sum is σ = 525379692. Its totient is φ = 90387840.

The previous prime is 225969677. The next prime is 225969719. The reversal of 225969680 is 86969522.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 158860816 + 67108864 = 12604^2 + 8192^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1412231 + ... + 1412390.

Almost surely, 2^225969680 is an apocalyptic number.

225969680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225969680 is an abundant number, since it is smaller than the sum of its proper divisors (299410012).

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

225969680 is a wasteful number, since it uses less digits than its factorization.

225969680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824634 (or 2824628 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 47.

The square root of 225969680 is about 15032.2879163486. The cubic root of 225969680 is about 609.0926939740.

The spelling of 225969680 in words is "two hundred twenty-five million, nine hundred sixty-nine thousand, six hundred eighty".