Search a number
-
+
22112017 is a prime number
BaseRepresentation
bin101010001011…
…0011100010001
31112121101222121
41110112130101
521130041032
62105534241
7355643344
oct124263421
945541877
1022112017
11115330a4
1274a4381
134772845
142d1845b
151e1ba97
hex1516711

22112017 has 2 divisors, whose sum is σ = 22112018. Its totient is φ = 22112016.

The previous prime is 22112009. The next prime is 22112033. The reversal of 22112017 is 71021122.

It is an a-pointer prime, because the next prime (22112033) can be obtained adding 22112017 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21446161 + 665856 = 4631^2 + 816^2 .

It is a cyclic number.

It is not a de Polignac number, because 22112017 - 23 = 22112009 is a prime.

It is not a weakly prime, because it can be changed into another prime (22110017) 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, 11056008 + 11056009.

It is an arithmetic number, because the mean of its divisors is an integer number (11056009).

Almost surely, 222112017 is an apocalyptic number.

It is an amenable number.

22112017 is a deficient number, since it is larger than the sum of its proper divisors (1).

22112017 is an equidigital number, since it uses as much as digits as its factorization.

22112017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 22112017 is about 4702.3416507098. The cubic root of 22112017 is about 280.6786979482.

Adding to 22112017 its reverse (71021122), we get a palindrome (93133139).

The spelling of 22112017 in words is "twenty-two million, one hundred twelve thousand, seventeen".