225321144 has 32 divisors (see below), whose sum is σ = 581475840. Its totient is φ = 72684000.

The previous prime is 225321139. The next prime is 225321167. The reversal of 225321144 is 441123522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150682 + ... + 152169.

It is an arithmetic number, because the mean of its divisors is an integer number (18171120).

Almost surely, 2^225321144 is an apocalyptic number.

225321144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225321144 is an abundant number, since it is smaller than the sum of its proper divisors (356154696).

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

225321144 is a wasteful number, since it uses less digits than its factorization.

225321144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302891 (or 302887 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 225321144 is about 15010.7009829655. The cubic root of 225321144 is about 608.5094342406.

Adding to 225321144 its reverse (441123522), we get a palindrome (666444666).

The spelling of 225321144 in words is "two hundred twenty-five million, three hundred twenty-one thousand, one hundred forty-four".