225333472 has 96 divisors (see below), whose sum is σ = 550029312. Its totient is φ = 88487424.

The previous prime is 225333469. The next prime is 225333491. The reversal of 225333472 is 274333522.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 649203 + ... + 649549.

It is an arithmetic number, because the mean of its divisors is an integer number (5729472).

Almost surely, 2^225333472 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 225333472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275014656).

225333472 is an abundant number, since it is smaller than the sum of its proper divisors (324695840).

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

225333472 is a wasteful number, since it uses less digits than its factorization.

225333472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its digits is 30240, while the sum is 31.

The square root of 225333472 is about 15011.1116177317. Note that the first 3 decimals coincide. The cubic root of 225333472 is about 608.5205318343.

Adding to 225333472 its reverse (274333522), we get a palindrome (499666994).

Subtracting 225333472 from its reverse (274333522), we obtain a triangular number (49000050 = T₉₈₉₉).

The spelling of 225333472 in words is "two hundred twenty-five million, three hundred thirty-three thousand, four hundred seventy-two".