224003313 has 10 divisors (see below), whose sum is σ = 334622354. Its totient is φ = 149335488.

The previous prime is 224003249. The next prime is 224003333. The reversal of 224003313 is 313300422.

It can be written as a sum of positive squares in only one way, i.e., 135210384 + 88792929 = 11628^2 + 9423^2 .

It is not a de Polignac number, because 224003313 - 2⁶ = 224003249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224003333) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 1382656 + ... + 1382817.

Almost surely, 2^224003313 is an apocalyptic number.

It is an amenable number.

224003313 is a deficient number, since it is larger than the sum of its proper divisors (110619041).

224003313 is an equidigital number, since it uses as much as digits as its factorization.

224003313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765485 (or 2765476 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 224003313 is about 14966.7402262483. The cubic root of 224003313 is about 607.3207884732.

Adding to 224003313 its reverse (313300422), we get a palindrome (537303735).

The spelling of 224003313 in words is "two hundred twenty-four million, three thousand, three hundred thirteen".