| Base | Representation |
|---|---|
| bin | 11001110010111… |
| … | …00010010000000 |
| 3 | 120002011110220221 |
| 4 | 30321130102000 |
| 5 | 420343302030 |
| 6 | 33245512424 |
| 7 | 5235145003 |
| oct | 1471342200 |
| 9 | 502143827 |
| 10 | 216384640 |
| 11 | 101163a8a |
| 12 | 60572714 |
| 13 | 35aa2c64 |
| 14 | 20a4953a |
| 15 | 13ee3e7a |
| hex | ce5c480 |
216384640 has 64 divisors (see below), whose sum is σ = 520200000. Its totient is φ = 86068224.
The previous prime is 216384617. The next prime is 216384647. The reversal of 216384640 is 46483612.
216384640 is digitally balanced in base 3, 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 (64).
It is a junction number, because it is equal to n+sod(n) for n = 216384596 and 216384605.
It is not an unprimeable number, because it can be changed into a prime (216384647) 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 7 ways as a sum of consecutive naturals, for example, 126511 + ... + 128209.
It is an arithmetic number, because the mean of its divisors is an integer number (8128125).
Almost surely, 2216384640 is an apocalyptic number.
216384640 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 216384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260100000).
216384640 is an abundant number, since it is smaller than the sum of its proper divisors (303815360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
216384640 is a wasteful number, since it uses less digits than its factorization.
216384640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1917 (or 1905 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 34.
The square root of 216384640 is about 14710.0183548492. The cubic root of 216384640 is about 600.3559369545.
The spelling of 216384640 in words is "two hundred sixteen million, three hundred eighty-four thousand, six hundred forty".
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