225740304 has 80 divisors (see below), whose sum is σ = 651763840. Its totient is φ = 74805120.

The previous prime is 225740299. The next prime is 225740351. The reversal of 225740304 is 403047522.

225740304 is a `hidden beast` number, since 2 + 257 + 403 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76749 + ... + 79635.

It is an arithmetic number, because the mean of its divisors is an integer number (8147048).

Almost surely, 2^225740304 is an apocalyptic number.

225740304 is a gapful number since it is divisible by the number (24) 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 225740304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325881920).

225740304 is an abundant number, since it is smaller than the sum of its proper divisors (426023536).

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

225740304 is a wasteful number, since it uses less digits than its factorization.

225740304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 225740304 is about 15024.6565351758. The cubic root of 225740304 is about 608.8865327685.

Adding to 225740304 its reverse (403047522), we get a palindrome (628787826).

The spelling of 225740304 in words is "two hundred twenty-five million, seven hundred forty thousand, three hundred four".