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BaseRepresentation
bin100011111000
310011001
4203320
533141
614344
76460
oct4370
93131
102296
1117a8
1213b4
131078
14ba0
15a31
hex8f8

2296 has 16 divisors (see below), whose sum is σ = 5040. Its totient is φ = 960.

The previous prime is 2293. The next prime is 2297. The reversal of 2296 is 6922.

Subtracting from 2296 its product of digits (216), we obtain a triangular number (2080 = T64).

It can be divided in two parts, 22 and 96, that multiplied together give a palindrome (2112).

2296 = T3 + T4 + ... + T23.

2296 = 152 + 162 + ... + 212.

2296 is nontrivially palindromic in base 3 and base 16.

2296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2296 is an undulating number in base 9 and base 16.

Its product of digits (216) is a multiple of the sum of its prime factors (54).

It is a nialpdrome in base 14 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36 + ... + 76.

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

22296 is an apocalyptic number.

2296 is the 28-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520).

2296 is an abundant number, since it is smaller than the sum of its proper divisors (2744).

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

2296 is a wasteful number, since it uses less digits than its factorization.

2296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 50 counting only the distinct ones).

The product of its digits is 216, while the sum is 19.

The square root of 2296 is about 47.9165942028. The cubic root of 2296 is about 13.1924045682.

The spelling of 2296 in words is "two thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 2296