225399240 has 128 divisors (see below), whose sum is σ = 819676800. Its totient is φ = 54639360.

The previous prime is 225399221. The next prime is 225399269. The reversal of 225399240 is 42993522.

225399240 is a `hidden beast` number, since 2 + 25 + 399 + 240 = 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 = 225399195 and 225399204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2394 + ... + 21366.

It is an arithmetic number, because the mean of its divisors is an integer number (6403725).

Almost surely, 2^225399240 is an apocalyptic number.

225399240 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 225399240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409838400).

225399240 is an abundant number, since it is smaller than the sum of its proper divisors (594277560).

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

225399240 is a wasteful number, since it uses less digits than its factorization.

225399240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19004 (or 18994 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 225399240 is about 15013.3021018029. The cubic root of 225399240 is about 608.5797289655.

The spelling of 225399240 in words is "two hundred twenty-five million, three hundred ninety-nine thousand, two hundred forty".