224310529 has 9 divisors (see below), whose sum is σ = 238552201. Its totient is φ = 210876160.

The previous prime is 224310521. The next prime is 224310533. The reversal of 224310529 is 925013422.

The square root of 224310529 is 14977.

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

224310529 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 748225 + 223562304 = 865^2 + 14952^2 .

It is not a de Polignac number, because 224310529 - 2³ = 224310521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 224310497 and 224310506.

It is not an unprimeable number, because it can be changed into a prime (224310521) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 254169 + ... + 255049.

Almost surely, 2^224310529 is an apocalyptic number.

224310529 is the 14977-th square number.

224310529 is the 7489-th centered octagonal number.

It is an amenable number.

224310529 is a deficient number, since it is larger than the sum of its proper divisors (14241672).

224310529 is an frugal number, since it uses more digits than its factorization.

224310529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The cubic root of 224310529 is about 607.5983043568.

The spelling of 224310529 in words is "two hundred twenty-four million, three hundred ten thousand, five hundred twenty-nine".