225760824 has 128 divisors (see below), whose sum is σ = 677376000. Its totient is φ = 69455232.

The previous prime is 225760813. The next prime is 225760837. The reversal of 225760824 is 428067522.

225760824 is a `hidden beast` number, since 2 + 2 + 576 + 0 + 82 + 4 = 666.

225760824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 143289 + ... + 144855.

It is an arithmetic number, because the mean of its divisors is an integer number (5292000).

Almost surely, 2^225760824 is an apocalyptic number.

225760824 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 225760824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338688000).

225760824 is an abundant number, since it is smaller than the sum of its proper divisors (451615176).

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

225760824 is a wasteful number, since it uses less digits than its factorization.

225760824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 225760824 is about 15025.3393971650. The cubic root of 225760824 is about 608.9049816570.

The spelling of 225760824 in words is "two hundred twenty-five million, seven hundred sixty thousand, eight hundred twenty-four".