224020013 has 12 divisors (see below), whose sum is σ = 274311360. Its totient is φ = 181910232.

The previous prime is 224020007. The next prime is 224020037. The reversal of 224020013 is 310020422.

224020013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 224020013 - 2⁴ = 224019997 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 224020013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224020073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119381 + ... + 121242.

It is an arithmetic number, because the mean of its divisors is an integer number (22859280).

Almost surely, 2^224020013 is an apocalyptic number.

It is an amenable number.

224020013 is a deficient number, since it is larger than the sum of its proper divisors (50291347).

224020013 is a wasteful number, since it uses less digits than its factorization.

224020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240656 (or 240649 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 224020013 is about 14967.2981195672. The cubic root of 224020013 is about 607.3358805196.

Adding to 224020013 its reverse (310020422), we get a palindrome (534040435).

The spelling of 224020013 in words is "two hundred twenty-four million, twenty thousand, thirteen".