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BaseRepresentation
bin100011010000
310002120
4203100
533011
614240
76402
oct4320
93076
102256
111771
121380
131047
14b72
15a06
hex8d0

2256 has 20 divisors (see below), whose sum is σ = 5952. Its totient is φ = 736.

The previous prime is 2251. The next prime is 2267. The reversal of 2256 is 6522.

Adding to 2256 its reverse (6522), we get a palindrome (8778).

It can be divided in two parts, 225 and 6, that added together give a triangular number (231 = T21).

2256 is nontrivially palindromic in base 11.

It is a plaindrome in base 10.

It is a nialpdrome in base 8 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251) 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, 25 + ... + 71.

It is a pronic number, being equal to 47×48.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976).

2256 is an abundant number, since it is smaller than the sum of its proper divisors (3696).

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

2256 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (2255) it forms an eRAP, since the sums of their prime factors are consecutive (57 and 58).

2256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 52 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 2256 is about 47.4973683482. The cubic root of 2256 is about 13.1153443723.

The spelling of 2256 in words is "two thousand, two hundred fifty-six".