225202176 has 156 divisors (see below), whose sum is σ = 670842900. Its totient is φ = 72744960.

The previous prime is 225202147. The next prime is 225202181. The reversal of 225202176 is 671202522.

It can be written as a sum of positive squares in 2 ways, for example, as 17842176 + 207360000 = 4224^2 + 14400^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1511350 + ... + 1511498.

It is an arithmetic number, because the mean of its divisors is an integer number (4300275).

Almost surely, 2^225202176 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 225202176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335421450).

225202176 is an abundant number, since it is smaller than the sum of its proper divisors (445640724).

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

225202176 is a wasteful number, since it uses less digits than its factorization.

225202176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 225202176 is about 15006.7376867859. The cubic root of 225202176 is about 608.4023191339.

Adding to 225202176 its reverse (671202522), we get a palindrome (896404698).

The spelling of 225202176 in words is "two hundred twenty-five million, two hundred two thousand, one hundred seventy-six".