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218313 = 32127191
BaseRepresentation
bin110101010011001001
3102002110200
4311103021
523441223
64402413
71566324
oct652311
9362420
10218313
1113a027
12a6409
13784a4
14597bb
1544a43
hex354c9

218313 has 12 divisors (see below), whose sum is σ = 319488. Its totient is φ = 143640.

The previous prime is 218287. The next prime is 218357. The reversal of 218313 is 313812.

218313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 218313 - 26 = 218249 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 218313.

It is not an unprimeable number, because it can be changed into a prime (218363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1048 + ... + 1238.

It is an arithmetic number, because the mean of its divisors is an integer number (26624).

2218313 is an apocalyptic number.

It is an amenable number.

218313 is a deficient number, since it is larger than the sum of its proper divisors (101175).

218313 is a wasteful number, since it uses less digits than its factorization.

218313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 321 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 218313 is about 467.2397671432. The cubic root of 218313 is about 60.2134067262.

The spelling of 218313 in words is "two hundred eighteen thousand, three hundred thirteen".

Divisors: 1 3 9 127 191 381 573 1143 1719 24257 72771 218313