223210013 has 32 divisors (see below), whose sum is σ = 261273600. Its totient is φ = 189100800.

The previous prime is 223210007. The next prime is 223210063. The reversal of 223210013 is 310012322.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 223210013 - 2¹⁰ = 223208989 is a prime.

It is a super-3 number, since 3×223210013³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

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 223210013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223210063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 829643 + ... + 829911.

It is an arithmetic number, because the mean of its divisors is an integer number (8164800).

Almost surely, 2^223210013 is an apocalyptic number.

It is an amenable number.

223210013 is a deficient number, since it is larger than the sum of its proper divisors (38063587).

223210013 is a wasteful number, since it uses less digits than its factorization.

223210013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 223210013 is about 14940.2146236257. The cubic root of 223210013 is about 606.6030052682.

Adding to 223210013 its reverse (310012322), we get a palindrome (533222335).

The spelling of 223210013 in words is "two hundred twenty-three million, two hundred ten thousand, thirteen".