225716820 has 192 divisors, whose sum is σ = 774821376. Its totient is φ = 47923200.

The previous prime is 225716819. The next prime is 225716833. The reversal of 225716820 is 28617522.

225716820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 720984 + ... + 721296.

It is an arithmetic number, because the mean of its divisors is an integer number (4035528).

Almost surely, 2^225716820 is an apocalyptic number.

225716820 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 225716820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387410688).

225716820 is an abundant number, since it is smaller than the sum of its proper divisors (549104556).

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

225716820 is a wasteful number, since it uses less digits than its factorization.

225716820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 225716820 is about 15023.8749994800. The cubic root of 225716820 is about 608.8654176686.

The spelling of 225716820 in words is "two hundred twenty-five million, seven hundred sixteen thousand, eight hundred twenty".