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2217 = 3739
BaseRepresentation
bin100010101001
310001010
4202221
532332
614133
76315
oct4251
93033
102217
111736
121349
131017
14b45
159cc
hex8a9

2217 has 4 divisors (see below), whose sum is σ = 2960. Its totient is φ = 1476.

The previous prime is 2213. The next prime is 2221. The reversal of 2217 is 7122.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (2213) and next prime (2221).

It is not a de Polignac number, because 2217 - 22 = 2213 is a prime.

It is a D-number.

It is a Duffinian number.

2217 is a lucky number.

It is a plaindrome in base 12 and base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2217.

It is not an unprimeable number, because it can be changed into a prime (2213) 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 in 3 ways as a sum of consecutive naturals, for example, 367 + ... + 372.

It is an arithmetic number, because the mean of its divisors is an integer number (740).

It is an amenable number.

2217 is a deficient number, since it is larger than the sum of its proper divisors (743).

2217 is an equidigital number, since it uses as much as digits as its factorization.

2217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742.

The product of its digits is 28, while the sum is 12.

The square root of 2217 is about 47.0850294680. The cubic root of 2217 is about 13.0393286317.

Adding to 2217 its reverse (7122), we get a palindrome (9339).

It can be divided in two parts, 2 and 217, that multiplied together give a palindrome (434).

The spelling of 2217 in words is "two thousand, two hundred seventeen", and thus it is an iban number.

Divisors: 1 3 739 2217