Search a number
-
+
22680017 is a prime number
BaseRepresentation
bin101011010000…
…1000111010001
31120200021010122
41112201013101
521301230032
62130040025
7363530333
oct126410721
946607118
1022680017
1111890918
127719015
134911239
143025453
151ed0012
hex15a11d1

22680017 has 2 divisors, whose sum is σ = 22680018. Its totient is φ = 22680016.

The previous prime is 22679971. The next prime is 22680029. The reversal of 22680017 is 71008622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19149376 + 3530641 = 4376^2 + 1879^2 .

It is a cyclic number.

It is not a de Polignac number, because 22680017 - 216 = 22614481 is a prime.

It is a super-2 number, since 2×226800172 = 1028766342240578, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (22680067) 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, 11340008 + 11340009.

It is an arithmetic number, because the mean of its divisors is an integer number (11340009).

Almost surely, 222680017 is an apocalyptic number.

It is an amenable number.

22680017 is a deficient number, since it is larger than the sum of its proper divisors (1).

22680017 is an equidigital number, since it uses as much as digits as its factorization.

22680017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 22680017 is about 4762.3541447482. The cubic root of 22680017 is about 283.0617095428.

Adding to 22680017 its reverse (71008622), we get a palindrome (93688639).

The spelling of 22680017 in words is "twenty-two million, six hundred eighty thousand, seventeen".