224222013 has 20 divisors (see below), whose sum is σ = 336906108. Its totient is φ = 148608000.

The previous prime is 224221979. The next prime is 224222041. The reversal of 224222013 is 310222422.

It can be written as a sum of positive squares in 2 ways, for example, as 197627364 + 26594649 = 14058^2 + 5157^2 .

It is not a de Polignac number, because 224222013 - 2¹⁴ = 224205629 is a prime.

It is a super-2 number, since 2×224222013² = 100551022227544338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224222083) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6013 + ... + 22013.

Almost surely, 2^224222013 is an apocalyptic number.

It is an amenable number.

224222013 is a deficient number, since it is larger than the sum of its proper divisors (112684095).

224222013 is a wasteful number, since it uses less digits than its factorization.

224222013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16186 (or 16177 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224222013 is about 14974.0446439831. The cubic root of 224222013 is about 607.5183716438.

Adding to 224222013 its reverse (310222422), we get a palindrome (534444435).

The spelling of 224222013 in words is "two hundred twenty-four million, two hundred twenty-two thousand, thirteen".