Search a number
-
+
211222217 is a prime number
BaseRepresentation
bin11001001011011…
…11111011001001
3112201110012102002
430211233323021
5413033102332
632543120345
75143234133
oct1445577311
9481405362
10211222217
11a9258418
125a8a30b5
13349b627b
14200a4053
1513824562
hexc96fec9

211222217 has 2 divisors, whose sum is σ = 211222218. Its totient is φ = 211222216.

The previous prime is 211222211. The next prime is 211222223. The reversal of 211222217 is 712222112.

It is a balanced prime because it is at equal distance from previous prime (211222211) and next prime (211222223).

It can be written as a sum of positive squares in only one way, i.e., 110901961 + 100320256 = 10531^2 + 10016^2 .

It is a cyclic number.

It is not a de Polignac number, because 211222217 - 28 = 211221961 is a prime.

It is a super-2 number, since 2×2112222172 = 89229649908790178, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211222211) 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, 105611108 + 105611109.

It is an arithmetic number, because the mean of its divisors is an integer number (105611109).

Almost surely, 2211222217 is an apocalyptic number.

It is an amenable number.

211222217 is a deficient number, since it is larger than the sum of its proper divisors (1).

211222217 is an equidigital number, since it uses as much as digits as its factorization.

211222217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 224, while the sum is 20.

The square root of 211222217 is about 14533.4860580660. The cubic root of 211222217 is about 595.5431022631.

Adding to 211222217 its reverse (712222112), we get a palindrome (923444329).

The spelling of 211222217 in words is "two hundred eleven million, two hundred twenty-two thousand, two hundred seventeen".