Search a number
-
+
2189281 is a prime number
BaseRepresentation
bin1000010110011111100001
311010020010111
420112133201
51030024111
6114531321
724415513
oct10263741
94106114
102189281
111265926
12896b41
135b8643
1440dbb3
152d3a21
hex2167e1

2189281 has 2 divisors, whose sum is σ = 2189282. Its totient is φ = 2189280.

The previous prime is 2189273. The next prime is 2189287. The reversal of 2189281 is 1829812.

It is a happy number.

2189281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1221025 + 968256 = 1105^2 + 984^2 .

It is a cyclic number.

It is not a de Polignac number, because 2189281 - 23 = 2189273 is a prime.

It is a super-2 number, since 2×21892812 = 9585902593922, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2189287) 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, 1094640 + 1094641.

It is an arithmetic number, because the mean of its divisors is an integer number (1094641).

22189281 is an apocalyptic number.

It is an amenable number.

2189281 is a deficient number, since it is larger than the sum of its proper divisors (1).

2189281 is an equidigital number, since it uses as much as digits as its factorization.

2189281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 31.

The square root of 2189281 is about 1479.6219111651. The cubic root of 2189281 is about 129.8475728257.

The spelling of 2189281 in words is "two million, one hundred eighty-nine thousand, two hundred eighty-one".