225214144 has 56 divisors (see below), whose sum is σ = 475945200. Its totient is φ = 105431040.

The previous prime is 225214139. The next prime is 225214159. The reversal of 225214144 is 441412522.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107184 + ... + 109264.

Almost surely, 2^225214144 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 225214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237972600).

225214144 is an abundant number, since it is smaller than the sum of its proper divisors (250731056).

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

225214144 is a wasteful number, since it uses less digits than its factorization.

225214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2191 counting only the distinct ones).

The product of its digits is 2560, while the sum is 25.

The square root of 225214144 is about 15007.1364357095. The cubic root of 225214144 is about 608.4130964572.

Adding to 225214144 its reverse (441412522), we get a palindrome (666626666).

It can be divided in two parts, 225 and 214144, that added together give a square (214369 = 463²).

The spelling of 225214144 in words is "two hundred twenty-five million, two hundred fourteen thousand, one hundred forty-four".