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2184 = 233713
BaseRepresentation
bin100010001000
32222220
4202020
532214
614040
76240
oct4210
92886
102184
111706
121320
13cc0
14b20
159a9
hex888

2184 has 32 divisors (see below), whose sum is σ = 6720. Its totient is φ = 576.

The previous prime is 2179. The next prime is 2203. The reversal of 2184 is 4812.

Adding to 2184 its reverse (4812), we get a palindrome (6996).

Subtracting 2184 from its reverse (4812), we obtain a triangular number (2628 = T72).

It can be divided in two parts, 218 and 4, that added together give a palindrome (222).

2184 is nontrivially palindromic in base 15 and base 16.

2184 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

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

It is one of the 548 Lynch-Bell numbers.

2184 is an undulating number in base 4 and base 15.

2184 is a nontrivial repdigit in base 16.

It is a plaindrome in base 16.

It is a nialpdrome in base 3, base 8, base 13, base 14 and base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162 + ... + 174.

It is an arithmetic number, because the mean of its divisors is an integer number (210).

2184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360).

2184 is an abundant number, since it is smaller than the sum of its proper divisors (4536).

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

2184 is a wasteful number, since it uses less digits than its factorization.

2184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29 (or 25 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 2184 is about 46.7332857822. The cubic root of 2184 is about 12.9743082334.

The spelling of 2184 in words is "two thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184