Base | Representation |
---|---|
bin | 11010001001010… |
… | …00001101000000 |
3 | 120021200110102221 |
4 | 31010220031000 |
5 | 422121121211 |
6 | 33432420424 |
7 | 5302110220 |
oct | 1504501500 |
9 | 507613387 |
10 | 219317056 |
11 | 102887172 |
12 | 61547714 |
13 | 3658b90a |
14 | 211b0080 |
15 | 143c2c71 |
hex | d128340 |
219317056 has 112 divisors (see below), whose sum is σ = 519818112. Its totient is φ = 89856000.
The previous prime is 219317027. The next prime is 219317099. The reversal of 219317056 is 650713912.
219317056 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 (112).
It is a congruent number.
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, 1674111 + ... + 1674241.
Almost surely, 2219317056 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 219317056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259909056).
219317056 is an abundant number, since it is smaller than the sum of its proper divisors (300501056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
219317056 is a wasteful number, since it uses less digits than its factorization.
219317056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 288 (or 278 counting only the distinct ones).
The product of its (nonzero) digits is 11340, while the sum is 34.
The square root of 219317056 is about 14809.3570420866. The cubic root of 219317056 is about 603.0557589568.
The spelling of 219317056 in words is "two hundred nineteen million, three hundred seventeen thousand, fifty-six".
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