Search a number
-
+
223132213 is a prime number
BaseRepresentation
bin11010100110010…
…11101000110101
3120112212021212001
431103023220311
5424110212323
634050255301
75346410143
oct1523135065
9515767761
10223132213
11104a52597
1262887531
13372c62c5
14218c4593
15148c83ad
hexd4cba35

223132213 has 2 divisors, whose sum is σ = 223132214. Its totient is φ = 223132212.

The previous prime is 223132211. The next prime is 223132241. The reversal of 223132213 is 312231322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118417924 + 104714289 = 10882^2 + 10233^2 .

It is a cyclic number.

It is not a de Polignac number, because 223132213 - 21 = 223132211 is a prime.

It is a super-3 number, since 3×2231322133 (a number of 26 digits) contains 333 as substring.

Together with 223132211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223132211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111566106 + 111566107.

It is an arithmetic number, because the mean of its divisors is an integer number (111566107).

Almost surely, 2223132213 is an apocalyptic number.

It is an amenable number.

223132213 is a deficient number, since it is larger than the sum of its proper divisors (1).

223132213 is an equidigital number, since it uses as much as digits as its factorization.

223132213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 19.

The square root of 223132213 is about 14937.6106857824. The cubic root of 223132213 is about 606.5325197833.

Adding to 223132213 its reverse (312231322), we get a palindrome (535363535).

The spelling of 223132213 in words is "two hundred twenty-three million, one hundred thirty-two thousand, two hundred thirteen".