Base | Representation |
---|---|
bin | 11001110101110… |
… | …11100010100000 |
3 | 120002220022010220 |
4 | 30322323202200 |
5 | 420443243231 |
6 | 33302123040 |
7 | 5241361356 |
oct | 1472734240 |
9 | 502808126 |
10 | 216774816 |
11 | 101400145 |
12 | 60720480 |
13 | 35bab72b |
14 | 20b0b7d6 |
15 | 1406e896 |
hex | cebb8a0 |
216774816 has 96 divisors (see below), whose sum is σ = 613122048. Its totient is φ = 66865920.
The previous prime is 216774799. The next prime is 216774821. The reversal of 216774816 is 618477612.
216774816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66865 + ... + 70031.
It is an arithmetic number, because the mean of its divisors is an integer number (6386688).
Almost surely, 2216774816 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 216774816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306561024).
216774816 is an abundant number, since it is smaller than the sum of its proper divisors (396347232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
216774816 is a wasteful number, since it uses less digits than its factorization.
216774816 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3234 (or 3226 counting only the distinct ones).
The product of its digits is 112896, while the sum is 42.
The square root of 216774816 is about 14723.2746357595. The cubic root of 216774816 is about 600.7165661032.
The spelling of 216774816 in words is "two hundred sixteen million, seven hundred seventy-four thousand, eight hundred sixteen".
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