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2212110217 is a prime number
BaseRepresentation
bin1000001111011010…
…0001111110001001
312201011110211202001
42003312201332021
514012300011332
61003301111001
7105550424632
oct20366417611
95634424661
102212110217
11a35751169
125189b8461
132933b1875
1416db10889
15ce3100e7
hex83da1f89

2212110217 has 2 divisors, whose sum is σ = 2212110218. Its totient is φ = 2212110216.

The previous prime is 2212110209. The next prime is 2212110221. The reversal of 2212110217 is 7120112122.

2212110217 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., 1715533561 + 496576656 = 41419^2 + 22284^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212110217 - 23 = 2212110209 is a prime.

It is a super-2 number, since 2×22121102172 = 9786863224311574178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2212110194 and 2212110203.

It is not a weakly prime, because it can be changed into another prime (2212110247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106055108 + 1106055109.

It is an arithmetic number, because the mean of its divisors is an integer number (1106055109).

Almost surely, 22212110217 is an apocalyptic number.

It is an amenable number.

2212110217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212110217 is an equidigital number, since it uses as much as digits as its factorization.

2212110217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 2212110217 is about 47033.0757765214. The cubic root of 2212110217 is about 1302.9735123832.

Adding to 2212110217 its reverse (7120112122), we get a palindrome (9332222339).

The spelling of 2212110217 in words is "two billion, two hundred twelve million, one hundred ten thousand, two hundred seventeen".