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223210213 is a prime number
BaseRepresentation
bin11010100110111…
…10101011100101
3120120000020211221
431103132223211
5424120211323
634052100341
75350153432
oct1523365345
9516006757
10223210213
11104aa6156
12629046b1
1337322965
1421904b89
15148e155d
hexd4deae5

223210213 has 2 divisors, whose sum is σ = 223210214. Its totient is φ = 223210212.

The previous prime is 223210171. The next prime is 223210217. The reversal of 223210213 is 312012322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 169598529 + 53611684 = 13023^2 + 7322^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223210213 is a prime.

It is a super-3 number, since 3×2232102133 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223210217) 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 as a sum of consecutive naturals, namely, 111605106 + 111605107.

It is an arithmetic number, because the mean of its divisors is an integer number (111605107).

Almost surely, 2223210213 is an apocalyptic number.

It is an amenable number.

223210213 is a deficient number, since it is larger than the sum of its proper divisors (1).

223210213 is an equidigital number, since it uses as much as digits as its factorization.

223210213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 223210213 is about 14940.2213169685. The cubic root of 223210213 is about 606.6031864437.

Adding to 223210213 its reverse (312012322), we get a palindrome (535222535).

The spelling of 223210213 in words is "two hundred twenty-three million, two hundred ten thousand, two hundred thirteen".