Search a number
-
+
2226 = 23753
BaseRepresentation
bin100010110010
310001110
4202302
532401
614150
76330
oct4262
93043
102226
111744
121356
131023
14b50
159d6
hex8b2

2226 has 16 divisors (see below), whose sum is σ = 5184. Its totient is φ = 624.

The previous prime is 2221. The next prime is 2237. The reversal of 2226 is 6222.

Adding to 2226 its reverse (6222), we get a palindrome (8448).

2226 is digitally balanced in base 5, 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.

2226 is strictly pandigital in base 5.

It is a plaindrome in base 10 and base 12.

It is a nialpdrome in base 7 and base 14.

It is not an unprimeable number, because it can be changed into a prime (2221) by changing a digit.

2226 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16 + ... + 68.

It is an arithmetic number, because the mean of its divisors is an integer number (324).

22226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592).

2226 is an abundant number, since it is smaller than the sum of its proper divisors (2958).

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

2226 is a wasteful number, since it uses less digits than its factorization.

2226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65.

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

The square root of 2226 is about 47.1805044483. The cubic root of 2226 is about 13.0569493675.

The spelling of 2226 in words is "two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 318 371 742 1113 2226