224004043313 has 6 divisors (see below), whose sum is σ = 234166798194. Its totient is φ = 214264736576.

The previous prime is 224004043303. The next prime is 224004043339. The reversal of 224004043313 is 313340400422.

224004043313 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 only one way, i.e., 155844931984 + 68159111329 = 394772^2 + 261073^2 .

It is not a de Polignac number, because 224004043313 - 2⁴ = 224004043297 is a prime.

It is a super-2 number, since 2×224004043313² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224004043303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 211723520 + ... + 211724577.

It is an arithmetic number, because the mean of its divisors is an integer number (39027799699).

Almost surely, 2^224004043313 is an apocalyptic number.

224004043313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

224004043313 is a deficient number, since it is larger than the sum of its proper divisors (10162754881).

224004043313 is an equidigital number, since it uses as much as digits as its factorization.

224004043313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423448143 (or 423448120 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 224004043313 its reverse (313340400422), we get a palindrome (537344443735).

The spelling of 224004043313 in words is "two hundred twenty-four billion, four million, forty-three thousand, three hundred thirteen".