225205120 has 128 divisors (see below), whose sum is σ = 651706560. Its totient is φ = 72646656.

The previous prime is 225205117. The next prime is 225205133. The reversal of 225205120 is 21502522.

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

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, 74682 + ... + 77638.

Almost surely, 2^225205120 is an apocalyptic number.

225205120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325853280).

225205120 is an abundant number, since it is smaller than the sum of its proper divisors (426501440).

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

225205120 is a wasteful number, since it uses less digits than its factorization.

225205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 225205120 is about 15006.8357757390. The cubic root of 225205120 is about 608.4049702756.

Adding to 225205120 its reverse (21502522), we get a palindrome (246707642).

The spelling of 225205120 in words is "two hundred twenty-five million, two hundred five thousand, one hundred twenty".