225752040 has 48 divisors (see below), whose sum is σ = 733695300. Its totient is φ = 60200448.

The previous prime is 225752029. The next prime is 225752047. The reversal of 225752040 is 40257522.

It can be written as a sum of positive squares in 2 ways, for example, as 218034756 + 7717284 = 14766^2 + 2778^2 .

It is a junction number, because it is equal to n+sod(n) for n = 225751995 and 225752013.

It is not an unprimeable number, because it can be changed into a prime (225752047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313185 + ... + 313904.

Almost surely, 2^225752040 is an apocalyptic number.

225752040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225752040 is an abundant number, since it is smaller than the sum of its proper divisors (507943260).

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

225752040 is a wasteful number, since it uses less digits than its factorization.

225752040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627106 (or 627099 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 225752040 is about 15025.0470881126. The cubic root of 225752040 is about 608.8970843749.

The spelling of 225752040 in words is "two hundred twenty-five million, seven hundred fifty-two thousand, forty".