Search a number
-
+
226028441 is a prime number
BaseRepresentation
bin11010111100011…
…10101110011001
3120202022102201202
431132032232121
5430330402231
634232323545
75413132022
oct1536165631
9522272652
10226028441
11106650571
12638435b5
1337a9b652
1422039c49
1514c9b5cb
hexd78eb99

226028441 has 2 divisors, whose sum is σ = 226028442. Its totient is φ = 226028440.

The previous prime is 226028431. The next prime is 226028477. The reversal of 226028441 is 144820622.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207504025 + 18524416 = 14405^2 + 4304^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-226028441 is a prime.

It is a super-2 number, since 2×2260284412 = 102177712281780962, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (226028431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113014220 + 113014221.

It is an arithmetic number, because the mean of its divisors is an integer number (113014221).

Almost surely, 2226028441 is an apocalyptic number.

It is an amenable number.

226028441 is a deficient number, since it is larger than the sum of its proper divisors (1).

226028441 is an equidigital number, since it uses as much as digits as its factorization.

226028441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 226028441 is about 15034.2422822036. The cubic root of 226028441 is about 609.1454854132.

The spelling of 226028441 in words is "two hundred twenty-six million, twenty-eight thousand, four hundred forty-one".