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2269 is a prime number
BaseRepresentation
bin100011011101
310010001
4203131
533034
614301
76421
oct4335
93101
102269
111783
121391
131057
14b81
15a14
hex8dd

2269 has 2 divisors, whose sum is σ = 2270. Its totient is φ = 2268.

The previous prime is 2267. The next prime is 2273. The reversal of 2269 is 9622.

Adding to 2269 its product of digits (216), we get a triangular number (2485 = T70).

It can be divided in two parts, 22 and 69, that added together give a triangular number (91 = T13).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1369 + 900 = 37^2 + 30^2 .

It is a cyclic number.

It is not a de Polignac number, because 2269 - 21 = 2267 is a prime.

It is a super-2 number, since 2×22692 = 10296722, which contains 22 as substring.

Together with 2267, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 10 and base 16.

It is a nialpdrome in base 7 and base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1134 + 1135.

It is an arithmetic number, because the mean of its divisors is an integer number (1135).

22269 is an apocalyptic number.

2269 is the 28-th hex number.

It is an amenable number.

2269 is a deficient number, since it is larger than the sum of its proper divisors (1).

2269 is an equidigital number, since it uses as much as digits as its factorization.

2269 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2269 is about 47.6340214553. The cubic root of 2269 is about 13.1404881408.

The spelling of 2269 in words is "two thousand, two hundred sixty-nine".