2208 has 24 divisors (see below), whose sum is σ = 6048. Its totient is φ = 704.

The previous prime is 2207. The next prime is 2213. The reversal of 2208 is 8022.

It can be divided in two parts, 2 and 208, that added together give a triangular number (210 = T_{20}).

It is a Cunningham number, because it is equal to 47^{2}-1.

It is a tau number, because it is divible by the number of its divisors (24).

2208 is a repfigit number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2193 and 2202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85 + ... + 107.

It is an arithmetic number, because the mean of its divisors is an integer number (252).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024).

2208 is an abundant number, since it is smaller than the sum of its proper divisors (3840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2208 is a wasteful number, since it uses less digits than its factorization.

2208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2208 is about 46.9893604979. The cubic root of 2208 is about 13.0216601431.

The spelling of 2208 in words is "two thousand, two hundred eight".

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