Search a number
2212 = 22779

2212 has 12 divisors (see below), whose sum is σ = 4480. Its totient is φ = 936.

The previous prime is 2207. The next prime is 2213. The reversal of 2212 is 2122.

It is a happy number.

2212 is an esthetic number in base 13, because in such base it adjacent digits differ by 1.

2212 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (7).

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

It is a pancake number, because a pancake can be divided into 2212 parts by 66 straight cuts.

It is a plaindrome in base 12.

It is a nialpdrome in base 7 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 2195 and 2204.

It is not an unprimeable number, because it can be changed into a prime (2213) by changing a digit.

2212 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 in 3 ways as a sum of consecutive naturals, for example, 12 + ... + 67.

22212 is an apocalyptic number.

It is an amenable number.

2212 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 (2240).

2212 is a wasteful number, since it uses less digits than its factorization.

2212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 88 counting only the distinct ones).

The product of its digits is 8, while the sum is 7.

The square root of 2212 is about 47.0319040652. The cubic root of 2212 is about 13.0295187208.

The spelling of 2212 in words is "two thousand, two hundred twelve", and is thus an iban number.

Divisors: 1 2 4 7 14 28 79 158 316 553 1106 2212