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2282313 = 311233197
BaseRepresentation
bin1000101101001101001001
311021221202010
420231031021
51041013223
6120530133
725253655
oct10551511
94257663
102282313
111319810
12920949
1361baa7
14435a65
15301393
hex22d349

2282313 has 32 divisors (see below), whose sum is σ = 3612672. Its totient is φ = 1267200.

The previous prime is 2282303. The next prime is 2282321. The reversal of 2282313 is 3132822.

It is not a de Polignac number, because 2282313 - 25 = 2282281 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2282313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23481 + ... + 23577.

It is an arithmetic number, because the mean of its divisors is an integer number (112896).

22282313 is an apocalyptic number.

2282313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2282313 is a deficient number, since it is larger than the sum of its proper divisors (1330359).

2282313 is a wasteful number, since it uses less digits than its factorization.

2282313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165.

The product of its digits is 576, while the sum is 21.

The square root of 2282313 is about 1510.7326037390. The cubic root of 2282313 is about 131.6613795523.

The spelling of 2282313 in words is "two million, two hundred eighty-two thousand, three hundred thirteen".

Divisors: 1 3 11 23 31 33 69 93 97 253 291 341 713 759 1023 1067 2139 2231 3007 3201 6693 7843 9021 23529 24541 33077 69161 73623 99231 207483 760771 2282313