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2288 = 241113
BaseRepresentation
bin100011110000
310010202
4203300
533123
614332
76446
oct4360
93122
102288
1117a0
1213a8
131070
14b96
15a28
hex8f0

2288 has 20 divisors (see below), whose sum is σ = 5208. Its totient is φ = 960.

The previous prime is 2287. The next prime is 2293. The reversal of 2288 is 8822.

It can be divided in two parts, 22 and 88, that multiplied together give a square (1936 = 442).

2288 is nontrivially palindromic in base 7.

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

It is an Ulam number.

Its product of digits (256) is a multiple of the sum of its prime factors (32).

It is a plaindrome in base 10.

It is a nialpdrome in base 14.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 170 + ... + 182.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604).

2288 is an abundant number, since it is smaller than the sum of its proper divisors (2920).

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

2288 is a wasteful number, since it uses less digits than its factorization.

2288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 26 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 2288 is about 47.8330429724. The cubic root of 2288 is about 13.1770645491.

The spelling of 2288 in words is "two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288