225792840 has 512 divisors, whose sum is σ = 928972800. Its totient is φ = 42577920.

The previous prime is 225792829. The next prime is 225792859. The reversal of 225792840 is 48297522.

225792840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

225792840 is a nontrivial binomial coefficient, being equal to C(32, 12).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7283625 + ... + 7283655.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 2^225792840 is an apocalyptic number.

225792840 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 225792840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464486400).

225792840 is an abundant number, since it is smaller than the sum of its proper divisors (703179960).

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

225792840 is a wasteful number, since it uses less digits than its factorization.

225792840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 225792840 is about 15026.4047596223. The cubic root of 225792840 is about 608.9337640059.

The spelling of 225792840 in words is "two hundred twenty-five million, seven hundred ninety-two thousand, eight hundred forty".