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2196 = 223261
BaseRepresentation
bin100010010100
310000100
4202110
532241
614100
76255
oct4224
93010
102196
111717
121330
13ccc
14b2c
159b6
hex894

2196 has 18 divisors (see below), whose sum is σ = 5642. Its totient is φ = 720.

The previous prime is 2179. The next prime is 2203. The reversal of 2196 is 6912.

2196 is nontrivially palindromic in base 8 and base 13.

It is a Cunningham number, because it is equal to 133-1.

It can be written as a sum of positive squares in only one way, i.e., 1296 + 900 = 36^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is one of the 548 Lynch-Bell numbers.

2196 is an undulating number in base 11.

2196 is a nontrivial repdigit in base 13.

It is a plaindrome in base 13.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

2196 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 5 ways as a sum of consecutive naturals, for example, 6 + ... + 66.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821).

2196 is an abundant number, since it is smaller than the sum of its proper divisors (3446).

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

2196 is a wasteful number, since it uses less digits than its factorization.

2196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 66 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 2196 is about 46.8614980554. The cubic root of 2196 is about 12.9980273141.

Adding to 2196 its product of digits (108), we get a square (2304 = 482).

It can be divided in two parts, 219 and 6, that added together give a square (225 = 152).

The spelling of 2196 in words is "two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196