2266 has 8 divisors (see below), whose sum is σ = 3744. Its totient is φ = 1020.

The previous prime is 2251. The next prime is 2267. The reversal of 2266 is 6622.

2266 = 9^{2} + 10^{2} + ... + 19^{2}.

2266 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.

2266 is a modest number, since divided by 66 gives 22 as remainder.

It is a plaindrome in base 10 and base 12.

It is a nialpdrome in base 8 and base 15.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (2267) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30 + ... + 73.

It is an arithmetic number, because the mean of its divisors is an integer number (468).

2266 is a deficient number, since it is larger than the sum of its proper divisors (1478).

2266 is a wasteful number, since it uses less digits than its factorization.

2266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116.

The product of its digits is 144, while the sum is 16.

The square root of 2266 is about 47.6025209416. The cubic root of 2266 is about 13.1346942741.

Adding to 2266 its reverse (6622), we get a palindrome (8888).

Subtracting 2266 from its reverse (6622), we obtain a square (4356 = 66^{2}).

It can be divided in two parts, 226 and 6, that added together give a palindrome (232).

The spelling of 2266 in words is "two thousand, two hundred sixty-six".

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