Search a number
-
+
222121217 is a prime number
BaseRepresentation
bin11010011110101…
…00110100000001
3120110221221000202
431033110310001
5423330334332
634012454545
75334666503
oct1517246401
9513857022
10222121217
11104421a5a
126247a455
1337031096
14216ddd73
1514778a62
hexd3d4d01

222121217 has 2 divisors, whose sum is σ = 222121218. Its totient is φ = 222121216.

The previous prime is 222121199. The next prime is 222121223. The reversal of 222121217 is 712121222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181467841 + 40653376 = 13471^2 + 6376^2 .

It is a cyclic number.

It is not a de Polignac number, because 222121217 - 214 = 222104833 is a prime.

It is a super-2 number, since 2×2221212172 = 98675670083122178, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (222121247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111060608 + 111060609.

It is an arithmetic number, because the mean of its divisors is an integer number (111060609).

Almost surely, 2222121217 is an apocalyptic number.

It is an amenable number.

222121217 is a deficient number, since it is larger than the sum of its proper divisors (1).

222121217 is an equidigital number, since it uses as much as digits as its factorization.

222121217 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 222121217 is about 14903.7316468058. The cubic root of 222121217 is about 605.6150810355.

Adding to 222121217 its reverse (712121222), we get a palindrome (934242439).

The spelling of 222121217 in words is "two hundred twenty-two million, one hundred twenty-one thousand, two hundred seventeen".