2248 has 8 divisors (see below), whose sum is σ = 4230. Its totient is φ = 1120.

The previous prime is 2243. The next prime is 2251. The reversal of 2248 is 8422.

2248 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in only one way, i.e., 1764 + 484 = 42^2 + 22^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2⁷ + 4³ + 2¹¹ + 8 .

2248 is an undulating number in base 16.

It is a plaindrome in base 10.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2243) by changing a digit.

2248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 133 + ... + 148.

It is an amenable number.

2248 is a deficient number, since it is larger than the sum of its proper divisors (1982).

2248 is a wasteful number, since it uses less digits than its factorization.

2248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its digits is 128, while the sum is 16.

The square root of 2248 is about 47.4130783645. The cubic root of 2248 is about 13.0998232402.

It can be divided in two parts, 224 and 8, that added together give a palindrome (232).

The spelling of 2248 in words is "two thousand, two hundred forty-eight".