225321152 has 112 divisors (see below), whose sum is σ = 545226240. Its totient is φ = 90243072.

The previous prime is 225321139. The next prime is 225321167. The reversal of 225321152 is 251123522.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 876608 + ... + 876864.

Almost surely, 2^225321152 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 225321152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272613120).

225321152 is an abundant number, since it is smaller than the sum of its proper divisors (319905088).

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

225321152 is a wasteful number, since it uses less digits than its factorization.

225321152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

The product of its digits is 1200, while the sum is 23.

The square root of 225321152 is about 15010.7012494420. The cubic root of 225321152 is about 608.5094414423.

Adding to 225321152 its reverse (251123522), we get a palindrome (476444674).

The spelling of 225321152 in words is "two hundred twenty-five million, three hundred twenty-one thousand, one hundred fifty-two".