225916812 has 36 divisors (see below), whose sum is σ = 622983816. Its totient is φ = 68459520.

The previous prime is 225916811. The next prime is 225916819. The reversal of 225916812 is 218619522.

225916812 is a `hidden beast` number, since 2 + 2 + 591 + 68 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (225916811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284853 + ... + 285644.

It is an arithmetic number, because the mean of its divisors is an integer number (17305106).

Almost surely, 2^225916812 is an apocalyptic number.

225916812 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

225916812 is an abundant number, since it is smaller than the sum of its proper divisors (397067004).

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

225916812 is a wasteful number, since it uses less digits than its factorization.

225916812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570518 (or 570513 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 225916812 is about 15030.5293319963. The cubic root of 225916812 is about 609.0451890400.

It can be divided in two parts, 22591 and 6812, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 225916812 in words is "two hundred twenty-five million, nine hundred sixteen thousand, eight hundred twelve".