Search a number
-
+
122200217 is a prime number
BaseRepresentation
bin1110100100010…
…10000010011001
322111221102011222
413102022002121
5222240401332
620043101425
73012453566
oct722120231
9274842158
10122200217
1162a84917
1234b11875
131c417529
141232d86d
15aadc712
hex748a099

122200217 has 2 divisors, whose sum is σ = 122200218. Its totient is φ = 122200216.

The previous prime is 122200189. The next prime is 122200237. The reversal of 122200217 is 712002221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120209296 + 1990921 = 10964^2 + 1411^2 .

It is a cyclic number.

It is not a de Polignac number, because 122200217 - 214 = 122183833 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 122200195 and 122200204.

It is not a weakly prime, because it can be changed into another prime (122200237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100108 + 61100109.

It is an arithmetic number, because the mean of its divisors is an integer number (61100109).

Almost surely, 2122200217 is an apocalyptic number.

It is an amenable number.

122200217 is a deficient number, since it is larger than the sum of its proper divisors (1).

122200217 is an equidigital number, since it uses as much as digits as its factorization.

122200217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 122200217 is about 11054.4206994306. The cubic root of 122200217 is about 496.2387326846.

Adding to 122200217 its reverse (712002221), we get a palindrome (834202438).

The spelling of 122200217 in words is "one hundred twenty-two million, two hundred thousand, two hundred seventeen".