225314144 has 48 divisors (see below), whose sum is σ = 485533440. Its totient is φ = 102072960.

The previous prime is 225314123. The next prime is 225314149. The reversal of 225314144 is 441413522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225314149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125477 + ... + 127259.

It is an arithmetic number, because the mean of its divisors is an integer number (10115280).

Almost surely, 2^225314144 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 225314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242766720).

225314144 is an abundant number, since it is smaller than the sum of its proper divisors (260219296).

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

225314144 is a wasteful number, since it uses less digits than its factorization.

225314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2155 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 225314144 is about 15010.4678141622. The cubic root of 225314144 is about 608.5031327013.

Adding to 225314144 its reverse (441413522), we get a palindrome (666727666).

The spelling of 225314144 in words is "two hundred twenty-five million, three hundred fourteen thousand, one hundred forty-four".