Base | Representation |
---|---|
bin | 11001110101011… |
… | …00000000110000 |
3 | 120002210001220100 |
4 | 30322230000300 |
5 | 420434224331 |
6 | 33300512400 |
7 | 5241005061 |
oct | 1472540060 |
9 | 502701810 |
10 | 216711216 |
11 | 101367387 |
12 | 606ab700 |
13 | 35b887b7 |
14 | 20ad2568 |
15 | 1405aae6 |
hex | ceac030 |
216711216 has 60 divisors (see below), whose sum is σ = 608378472. Its totient is φ = 72012288.
The previous prime is 216711193. The next prime is 216711217. The reversal of 216711216 is 612117612.
It is a happy number.
It is a super-2 number, since 2×2167112162 = 93927502280397312, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 216711216.
It is not an unprimeable number, because it can be changed into a prime (216711217) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47800 + ... + 52136.
Almost surely, 2216711216 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 216711216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304189236).
216711216 is an abundant number, since it is smaller than the sum of its proper divisors (391667256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
216711216 is a wasteful number, since it uses less digits than its factorization.
216711216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4698 (or 4689 counting only the distinct ones).
The product of its digits is 1008, while the sum is 27.
The square root of 216711216 is about 14721.1146317118. The cubic root of 216711216 is about 600.6578118757.
Adding to 216711216 its reverse (612117612), we get a palindrome (828828828).
The spelling of 216711216 in words is "two hundred sixteen million, seven hundred eleven thousand, two hundred sixteen".
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