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2214 = 23341
BaseRepresentation
bin100010100110
310001000
4202212
532324
614130
76312
oct4246
93030
102214
111733
121346
131014
14b42
159c9
hex8a6

2214 has 16 divisors (see below), whose sum is σ = 5040. Its totient is φ = 720.

The previous prime is 2213. The next prime is 2221. The reversal of 2214 is 4122.

Adding to 2214 its reverse (4122), we get a palindrome (6336).

It can be divided in two parts, 221 and 4, that added together give a square (225 = 152).

2214 = 222 + 232 + ... + 252.

2214 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (9).

2214 is an undulating number in base 9 and base 15.

It is a plaindrome in base 12.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 2196 and 2205.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2214.

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

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, 34 + ... + 74.

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

22214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520).

2214 is an abundant number, since it is smaller than the sum of its proper divisors (2826).

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

2214 is a wasteful number, since it uses less digits than its factorization.

2214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 46 counting only the distinct ones).

The product of its digits is 16, while the sum is 9.

The square root of 2214 is about 47.0531614241. The cubic root of 2214 is about 13.0334444573.

The spelling of 2214 in words is "two thousand, two hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214