| Base | Representation |
|---|---|
| bin | 11001111110111… |
| … | …10111101100000 |
| 3 | 120012010221112200 |
| 4 | 30333132331200 |
| 5 | 421244442410 |
| 6 | 33343453200 |
| 7 | 5254462422 |
| oct | 1477367540 |
| 9 | 505127480 |
| 10 | 217968480 |
| 11 | 102045a44 |
| 12 | 60bb7200 |
| 13 | 36208b42 |
| 14 | 20d3c812 |
| 15 | 142083c0 |
| hex | cfdef60 |
217968480 has 144 divisors (see below), whose sum is σ = 764107344. Its totient is φ = 56540160.
The previous prime is 217968473. The next prime is 217968503. The reversal of 217968480 is 84869712.
217968480 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 (144).
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
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, 51235 + ... + 55325.
It is an arithmetic number, because the mean of its divisors is an integer number (5306301).
Almost surely, 2217968480 is an apocalyptic number.
217968480 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 217968480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382053672).
217968480 is an abundant number, since it is smaller than the sum of its proper divisors (546138864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
217968480 is a wasteful number, since it uses less digits than its factorization.
217968480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4149 (or 4138 counting only the distinct ones).
The product of its (nonzero) digits is 193536, while the sum is 45.
The square root of 217968480 is about 14763.7556197602. The cubic root of 217968480 is about 601.8171576741.
It can be divided in two parts, 21796 and 8480, that added together give a square (30276 = 1742).
The spelling of 217968480 in words is "two hundred seventeen million, nine hundred sixty-eight thousand, four hundred eighty".
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