225815040 has 420 divisors, whose sum is σ = 892274922. Its totient is φ = 54743040.

The previous prime is 225815027. The next prime is 225815069. The reversal of 225815040 is 40518522.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 203233536 + 22581504 = 14256^2 + 4752^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 225814995 and 225815013.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 20528635 + ... + 20528645.

Almost surely, 2^225815040 is an apocalyptic number.

225815040 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 225815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446137461).

225815040 is an abundant number, since it is smaller than the sum of its proper divisors (666459882).

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

225815040 is an frugal number, since it uses more digits than its factorization.

225815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 225815040 is about 15027.1434411201. The cubic root of 225815040 is about 608.9537201843.

The spelling of 225815040 in words is "two hundred twenty-five million, eight hundred fifteen thousand, forty".