2210 has 16 divisors (see below), whose sum is σ = 4536. Its totient is φ = 768.

The previous prime is 2207. The next prime is 2213. The reversal of 2210 is 122.

Adding to 2210 its reverse (122), we get a palindrome (2332).

It can be divided in two parts, 22 and 10, that added together give a 5-th power (32 = 2^{5}).

2210 is nontrivially palindromic in base 4.

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

2210 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (2207) and next prime (2213).

It can be written as a sum of positive squares in 4 ways, for example, as 1681 + 529 = 41^2 + 23^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

2210 is an undulating number in base 8 and base 13.

It is a Curzon number.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2194 and 2203.

It is not an unprimeable number, because it can be changed into a prime (2213) 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, 122 + ... + 138.

2^{2210} is an apocalyptic number.

2210 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268).

2210 is a wasteful number, since it uses less digits than its factorization.

2210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37.

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 2210 is about 47.0106370942. The cubic root of 2210 is about 13.0255906172.

The spelling of 2210 in words is "two thousand, two hundred ten", and thus it is an iban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.047 sec. • engine limits •