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122208217 is a prime number
BaseRepresentation
bin1110100100010…
…11111111011001
322111221211011021
413102023333121
5222241130332
620043202441
73012516115
oct722137731
9274854137
10122208217
1162a8a92a
1234b16421
131c41b071
1412332745
15aadec97
hex748bfd9

122208217 has 2 divisors, whose sum is σ = 122208218. Its totient is φ = 122208216.

The previous prime is 122208157. The next prime is 122208221. The reversal of 122208217 is 712802221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104264521 + 17943696 = 10211^2 + 4236^2 .

It is a cyclic number.

It is not a de Polignac number, because 122208217 - 219 = 121683929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122208191 and 122208200.

It is not a weakly prime, because it can be changed into another prime (122208227) 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, 61104108 + 61104109.

It is an arithmetic number, because the mean of its divisors is an integer number (61104109).

Almost surely, 2122208217 is an apocalyptic number.

It is an amenable number.

122208217 is a deficient number, since it is larger than the sum of its proper divisors (1).

122208217 is an equidigital number, since it uses as much as digits as its factorization.

122208217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 122208217 is about 11054.7825396975. The cubic root of 122208217 is about 496.2495614248.

The spelling of 122208217 in words is "one hundred twenty-two million, two hundred eight thousand, two hundred seventeen".