225495040 has 144 divisors (see below), whose sum is σ = 580392540. Its totient is φ = 84049920.

The previous prime is 225495007. The next prime is 225495043. The reversal of 225495040 is 40594522.

It can be written as a sum of positive squares in 2 ways, for example, as 195552256 + 29942784 = 13984^2 + 5472^2 .

It is a junction number, because it is equal to n+sod(n) for n = 225494993 and 225495011.

It is not an unprimeable number, because it can be changed into a prime (225495043) 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, 3696610 + ... + 3696670.

Almost surely, 2^225495040 is an apocalyptic number.

225495040 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 225495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290196270).

225495040 is an abundant number, since it is smaller than the sum of its proper divisors (354897500).

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

225495040 is an equidigital number, since it uses as much as digits as its factorization.

225495040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 225495040 is about 15016.4922668378. The cubic root of 225495040 is about 608.6659370055.

The spelling of 225495040 in words is "two hundred twenty-five million, four hundred ninety-five thousand, forty".