225570816 has 156 divisors (see below), whose sum is σ = 677231880. Its totient is φ = 72253440.

The previous prime is 225570799. The next prime is 225570817. The reversal of 225570816 is 618075522.

It is a happy number.

225570816 is a `hidden beast` number, since 2 + 2 + 5 + 570 + 81 + 6 = 666.

225570816 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 not an unprimeable number, because it can be changed into a prime (225570817) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1068951 + ... + 1069161.

It is an arithmetic number, because the mean of its divisors is an integer number (4341230).

Almost surely, 2^225570816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225570816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338615940).

225570816 is an abundant number, since it is smaller than the sum of its proper divisors (451661064).

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

225570816 is a wasteful number, since it uses less digits than its factorization.

225570816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 225570816 is about 15019.0151474722. The cubic root of 225570816 is about 608.7341086523.

The spelling of 225570816 in words is "two hundred twenty-five million, five hundred seventy thousand, eight hundred sixteen".