224208013 has 2 divisors, whose sum is σ = 224208014. Its totient is φ = 224208012.

The previous prime is 224207993. The next prime is 224208029. The reversal of 224208013 is 310802422.

224208013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155201764 + 69006249 = 12458^2 + 8307^2 .

It is a cyclic number.

It is not a de Polignac number, because 224208013 - 2¹³ = 224199821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (224208043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112104006 + 112104007.

It is an arithmetic number, because the mean of its divisors is an integer number (112104007).

Almost surely, 2^224208013 is an apocalyptic number.

It is an amenable number.

224208013 is a deficient number, since it is larger than the sum of its proper divisors (1).

224208013 is an equidigital number, since it uses as much as digits as its factorization.

224208013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 224208013 is about 14973.5771611195. The cubic root of 224208013 is about 607.5057272798.

The spelling of 224208013 in words is "two hundred twenty-four million, two hundred eight thousand, thirteen".