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2213 is a prime number
BaseRepresentation
bin100010100101
310000222
4202211
532323
614125
76311
oct4245
93028
102213
111732
121345
131013
14b41
159c8
hex8a5

2213 has 2 divisors, whose sum is σ = 2214. Its totient is φ = 2212.

The previous prime is 2207. The next prime is 2221. The reversal of 2213 is 3122.

Adding to 2213 its reverse (3122), we get a palindrome (5335).

Subtracting 2213 from its reverse (3122), we obtain a palindrome (909).

2213 is nontrivially palindromic in base 5.

2213 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is an a-pointer prime, because the next prime (2221) can be obtained adding 2213 to its sum of digits (8).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2209 + 4 = 47^2 + 2^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2213 is a prime.

It is a Chen prime.

2213 is an undulating number in base 5.

It is a plaindrome in base 12.

It is a nialpdrome in base 7 and base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 2213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2203) 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, 1106 + 1107.

It is an arithmetic number, because the mean of its divisors is an integer number (1107).

It is an amenable number.

2213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213 is an equidigital number, since it uses as much as digits as its factorization.

2213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12, while the sum is 8.

The square root of 2213 is about 47.0425339454. The cubic root of 2213 is about 13.0314818847.

The spelling of 2213 in words is "two thousand, two hundred thirteen".