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2289 = 37109
BaseRepresentation
bin100011110001
310010210
4203301
533124
614333
76450
oct4361
93123
102289
1117a1
1213a9
131071
14b97
15a29
hex8f1

2289 has 8 divisors (see below), whose sum is σ = 3520. Its totient is φ = 1296.

The previous prime is 2287. The next prime is 2293. The reversal of 2289 is 9822.

It can be divided in two parts, 22 and 89, that added together give a palindrome (111).

2289 = T22 + T23 + ... + T28.

2289 is nontrivially palindromic in base 2.

2289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2289 - 21 = 2287 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 109 = 2289 / (2 + 2 + 8 + 9).

It is a Duffinian number.

It is a plaindrome in base 10.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (2281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34 + ... + 75.

It is an arithmetic number, because the mean of its divisors is an integer number (440).

It is an amenable number.

2289 is a deficient number, since it is larger than the sum of its proper divisors (1231).

2289 is a wasteful number, since it uses less digits than its factorization.

2289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119.

The product of its digits is 288, while the sum is 21.

The square root of 2289 is about 47.8434948556. The cubic root of 2289 is about 13.1789840050.

The spelling of 2289 in words is "two thousand, two hundred eighty-nine".

Divisors: 1 3 7 21 109 327 763 2289