225304144000 has 128 divisors (see below), whose sum is σ = 603252402480. Its totient is φ = 83189145600.

The previous prime is 225304143949. The next prime is 225304144057. The reversal of 225304144000 is 441403522.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4486856256 + 220817287744 = 66984^2 + 469912^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333597 + ... + 749596.

Almost surely, 2^225304144000 is an apocalyptic number.

225304144000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225304144000 is an abundant number, since it is smaller than the sum of its proper divisors (377948258480).

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

225304144000 is a wasteful number, since it uses less digits than its factorization.

225304144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083235 (or 1083213 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 225304144000 its reverse (441403522), we get a palindrome (225745547522).

The spelling of 225304144000 in words is "two hundred twenty-five billion, three hundred four million, one hundred forty-four thousand".