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216333 = 3213432
BaseRepresentation
bin110100110100001101
3101222202100
4310310031
523410313
64345313
71560465
oct646415
9358670
10216333
11138597
12a5239
1377610
1458ba5
1544173
hex34d0d

216333 has 18 divisors (see below), whose sum is σ = 344526. Its totient is φ = 130032.

The previous prime is 216329. The next prime is 216347. The reversal of 216333 is 333612.

It is a happy number.

216333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 149769 + 66564 = 387^2 + 258^2 .

It is not a de Polignac number, because 216333 - 22 = 216329 is a prime.

216333 is a modest number, since divided by 333 gives 216 as remainder.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216373) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5010 + ... + 5052.

2216333 is an apocalyptic number.

It is an amenable number.

216333 is a deficient number, since it is larger than the sum of its proper divisors (128193).

216333 is a wasteful number, since it uses less digits than its factorization.

216333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 59 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 216333 is about 465.1161145349. The cubic root of 216333 is about 60.0308175020.

Adding to 216333 its reverse (333612), we get a palindrome (549945).

The spelling of 216333 in words is "two hundred sixteen thousand, three hundred thirty-three".

Divisors: 1 3 9 13 39 43 117 129 387 559 1677 1849 5031 5547 16641 24037 72111 216333