225842144 has 144 divisors (see below), whose sum is σ = 535719744. Its totient is φ = 93265920.

The previous prime is 225842143. The next prime is 225842153. The reversal of 225842144 is 441248522.

225842144 is digitally balanced in base 2, 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 (32).

It is a self number, because there is not a number n which added to its sum of digits gives 225842144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225842143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3093692 + ... + 3093764.

It is an arithmetic number, because the mean of its divisors is an integer number (3720276).

Almost surely, 2^225842144 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 225842144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267859872).

225842144 is an abundant number, since it is smaller than the sum of its proper divisors (309877600).

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

225842144 is a wasteful number, since it uses less digits than its factorization.

225842144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its digits is 20480, while the sum is 32.

The square root of 225842144 is about 15028.0452488007. The cubic root of 225842144 is about 608.9780829272.

The spelling of 225842144 in words is "two hundred twenty-five million, eight hundred forty-two thousand, one hundred forty-four".