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2228321 is a prime number
BaseRepresentation
bin1000100000000001100001
311012012200102
420200001201
51032301241
6115432145
724640364
oct10400141
94165612
102228321
111292197
128b5655
13600344
144200db
152e039b
hex220061

2228321 has 2 divisors, whose sum is σ = 2228322. Its totient is φ = 2228320.

The previous prime is 2228299. The next prime is 2228323. The reversal of 2228321 is 1238222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2131600 + 96721 = 1460^2 + 311^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2228321 is a prime.

It is a Sophie Germain prime.

Together with 2228323, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2228293 and 2228302.

It is not a weakly prime, because it can be changed into another prime (2228323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1114160 + 1114161.

It is an arithmetic number, because the mean of its divisors is an integer number (1114161).

22228321 is an apocalyptic number.

It is an amenable number.

2228321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2228321 is an equidigital number, since it uses as much as digits as its factorization.

2228321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 384, while the sum is 20.

The square root of 2228321 is about 1492.7561756697. The cubic root of 2228321 is about 130.6148585336.

Subtracting from 2228321 its reverse (1238222), we obtain a palindrome (990099).

The spelling of 2228321 in words is "two million, two hundred twenty-eight thousand, three hundred twenty-one".