224302005 has 12 divisors (see below), whose sum is σ = 388790220. Its totient is φ = 119627712.

The previous prime is 224301977. The next prime is 224302009. The reversal of 224302005 is 500203422.

It can be written as a sum of positive squares in 2 ways, for example, as 142706916 + 81595089 = 11946^2 + 9033^2 .

It is not a de Polignac number, because 224302005 - 2¹⁰ = 224300981 is a prime.

It is a super-2 number, since 2×224302005² = 100622778894040050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224302009) 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 11 ways as a sum of consecutive naturals, for example, 2492200 + ... + 2492289.

It is an arithmetic number, because the mean of its divisors is an integer number (32399185).

Almost surely, 2^224302005 is an apocalyptic number.

It is an amenable number.

224302005 is a deficient number, since it is larger than the sum of its proper divisors (164488215).

224302005 is a wasteful number, since it uses less digits than its factorization.

224302005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4984500 (or 4984497 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 224302005 is about 14976.7154276230. The cubic root of 224302005 is about 607.5906078337.

Adding to 224302005 its reverse (500203422), we get a palindrome (724505427).

The spelling of 224302005 in words is "two hundred twenty-four million, three hundred two thousand, five".