Search a number
-
+
211222309 is a prime number
BaseRepresentation
bin11001001011011…
…11111100100101
3112201110012112111
430211233330211
5413033103214
632543121021
75143234324
oct1445577445
9481405474
10211222309
11a92584a1
125a8a3171
13349b631c
14200a40bb
15138245c4
hexc96ff25

211222309 has 2 divisors, whose sum is σ = 211222310. Its totient is φ = 211222308.

The previous prime is 211222303. The next prime is 211222337. The reversal of 211222309 is 903222112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 188925025 + 22297284 = 13745^2 + 4722^2 .

It is a cyclic number.

It is not a de Polignac number, because 211222309 - 227 = 77004581 is a prime.

It is a super-2 number, since 2×2112223092 = 89229727638582962, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211222309.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211222303) 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, 105611154 + 105611155.

It is an arithmetic number, because the mean of its divisors is an integer number (105611155).

Almost surely, 2211222309 is an apocalyptic number.

It is an amenable number.

211222309 is a deficient number, since it is larger than the sum of its proper divisors (1).

211222309 is an equidigital number, since it uses as much as digits as its factorization.

211222309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 211222309 is about 14533.4892231701. The cubic root of 211222309 is about 595.5431887281.

The spelling of 211222309 in words is "two hundred eleven million, two hundred twenty-two thousand, three hundred nine".