Search a number
-
+
22205237 is a prime number
BaseRepresentation
bin101010010110…
…1001100110101
31112210010212012
41110231030311
521141031422
62111534005
7356512205
oct124551465
945703765
1022205237
111159713a
12752a305
1347a60c2
142d40405
151e394e2
hex152d335

22205237 has 2 divisors, whose sum is σ = 22205238. Its totient is φ = 22205236.

The previous prime is 22205203. The next prime is 22205257. The reversal of 22205237 is 73250222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21104836 + 1100401 = 4594^2 + 1049^2 .

It is a cyclic number.

It is not a de Polignac number, because 22205237 - 218 = 21943093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22205257) 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, 11102618 + 11102619.

It is an arithmetic number, because the mean of its divisors is an integer number (11102619).

Almost surely, 222205237 is an apocalyptic number.

It is an amenable number.

22205237 is a deficient number, since it is larger than the sum of its proper divisors (1).

22205237 is an equidigital number, since it uses as much as digits as its factorization.

22205237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 22205237 is about 4712.2433086588. The cubic root of 22205237 is about 281.0725740536.

Adding to 22205237 its reverse (73250222), we get a palindrome (95455459).

The spelling of 22205237 in words is "twenty-two million, two hundred five thousand, two hundred thirty-seven".