Search a number
2262 = 231329

2262 has 16 divisors (see below), whose sum is σ = 5040. Its totient is φ = 672.

The previous prime is 2251. The next prime is 2267. The reversal of 2262 is 2622.

2262 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 11.

It is a nialpdrome in base 7.

It is a congruent number.

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

2262 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 7 ways as a sum of consecutive naturals, for example, 64 + ... + 92.

It is an arithmetic number, because the mean of its divisors is an integer number (315).

22262 is an apocalyptic number.

2262 is the 39-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520).

2262 is an abundant number, since it is smaller than the sum of its proper divisors (2778).

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

2262 is a wasteful number, since it uses less digits than its factorization.

2262 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47.

The product of its digits is 48, while the sum is 12.

The square root of 2262 is about 47.5604878024. The cubic root of 2262 is about 13.1269611582.

Adding to 2262 its reverse (2622), we get a palindrome (4884).

The spelling of 2262 in words is "two thousand, two hundred sixty-two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 754 1131 2262