224952901264 has 135 divisors (see below), whose sum is σ = 549426878793. Its totient is φ = 88924058496.

The previous prime is 224952901259. The next prime is 224952901267. The reversal of 224952901264 is 462109259422.

The square root of 224952901264 is 474292.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 33277056400 + 191675844864 = 182420^2 + 437808^2 .

It is not an unprimeable number, because it can be changed into a prime (224952901267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 172641637 + ... + 172642939.

Almost surely, 2^224952901264 is an apocalyptic number.

224952901264 is the 474292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224952901264

224952901264 is an abundant number, since it is smaller than the sum of its proper divisors (324473977529).

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

224952901264 is an equidigital number, since it uses as much as digits as its factorization.

224952901264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 224952901264 in words is "two hundred twenty-four billion, nine hundred fifty-two million, nine hundred one thousand, two hundred sixty-four".