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2226593 is a prime number
BaseRepresentation
bin1000011111100110100001
311012010022102
420133212201
51032222333
6115420145
724632345
oct10374641
94163272
102226593
111290966
128b4655
135cc615
1441d625
152deae8
hex21f9a1

2226593 has 2 divisors, whose sum is σ = 2226594. Its totient is φ = 2226592.

The previous prime is 2226571. The next prime is 2226613. The reversal of 2226593 is 3956222.

2226593 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., 2226064 + 529 = 1492^2 + 23^2 .

It is a cyclic number.

It is not a de Polignac number, because 2226593 - 26 = 2226529 is a prime.

It is a Sophie Germain prime.

It is a d-powerful number, because it can be written as 28 + 210 + 218 + 65 + 59 + 92 + 37 .

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2226293) 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, 1113296 + 1113297.

It is an arithmetic number, because the mean of its divisors is an integer number (1113297).

22226593 is an apocalyptic number.

It is an amenable number.

2226593 is a deficient number, since it is larger than the sum of its proper divisors (1).

2226593 is an equidigital number, since it uses as much as digits as its factorization.

2226593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6480, while the sum is 29.

The square root of 2226593 is about 1492.1772682895. The cubic root of 2226593 is about 130.5810870913.

The spelling of 2226593 in words is "two million, two hundred twenty-six thousand, five hundred ninety-three".