224404013 has 2 divisors, whose sum is σ = 224404014. Its totient is φ = 224404012.

The previous prime is 224403997. The next prime is 224404027. The reversal of 224404013 is 310404422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183277444 + 41126569 = 13538^2 + 6413^2 .

It is a cyclic number.

It is not a de Polignac number, because 224404013 - 2⁴ = 224403997 is a prime.

It is a super-2 number, since 2×224404013² = 100714322101008338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (224004013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112202006 + 112202007.

It is an arithmetic number, because the mean of its divisors is an integer number (112202007).

Almost surely, 2^224404013 is an apocalyptic number.

It is an amenable number.

224404013 is a deficient number, since it is larger than the sum of its proper divisors (1).

224404013 is an equidigital number, since it uses as much as digits as its factorization.

224404013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 224404013 is about 14980.1205936401. The cubic root of 224404013 is about 607.6827005005.

Adding to 224404013 its reverse (310404422), we get a palindrome (534808435).

The spelling of 224404013 in words is "two hundred twenty-four million, four hundred four thousand, thirteen".