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216300 = 223527103
BaseRepresentation
bin110100110011101100
3101222201010
4310303230
523410200
64345220
71560420
oct646354
9358633
10216300
11138567
12a5210
13775b6
1458b80
1544150
hex34cec

216300 has 72 divisors (see below), whose sum is σ = 722176. Its totient is φ = 48960.

The previous prime is 216289. The next prime is 216317. The reversal of 216300 is 3612.

216300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2049 + ... + 2151.

2216300 is an apocalyptic number.

216300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361088).

216300 is an abundant number, since it is smaller than the sum of its proper divisors (505876).

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

216300 is a wasteful number, since it uses less digits than its factorization.

216300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 216300 is about 465.0806381693. The cubic root of 216300 is about 60.0277649276.

Adding to 216300 its reverse (3612), we get a palindrome (219912).

The spelling of 216300 in words is "two hundred sixteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 103 105 140 150 175 206 210 300 309 350 412 420 515 525 618 700 721 1030 1050 1236 1442 1545 2060 2100 2163 2575 2884 3090 3605 4326 5150 6180 7210 7725 8652 10300 10815 14420 15450 18025 21630 30900 36050 43260 54075 72100 108150 216300