225393840 has 200 divisors, whose sum is σ = 894838560. Its totient is φ = 51508224.

The previous prime is 225393823. The next prime is 225393863. The reversal of 225393840 is 48393522.

225393840 is a `hidden beast` number, since 225 + 393 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 225393795 and 225393804.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42876 + ... + 47844.

Almost surely, 2^225393840 is an apocalyptic number.

225393840 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 225393840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447419280).

225393840 is an abundant number, since it is smaller than the sum of its proper divisors (669444720).

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

225393840 is a wasteful number, since it uses less digits than its factorization.

225393840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5001 (or 4986 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 225393840 is about 15013.1222602096. The cubic root of 225393840 is about 608.5748689125.

The spelling of 225393840 in words is "two hundred twenty-five million, three hundred ninety-three thousand, eight hundred forty".