| Base | Representation |
|---|---|
| bin | 11001111010000… |
| … | …10001111100100 |
| 3 | 120010221100000000 |
| 4 | 30331002033210 |
| 5 | 421113422224 |
| 6 | 33322021300 |
| 7 | 5246150100 |
| oct | 1475021744 |
| 9 | 503840000 |
| 10 | 217326564 |
| 11 | 101747734 |
| 12 | 60947830 |
| 13 | 36042900 |
| 14 | 20c12900 |
| 15 | 1412d0c9 |
| hex | cf423e4 |
217326564 has 243 divisors, whose sum is σ = 718560297. Its totient is φ = 57316896.
The previous prime is 217326533. The next prime is 217326569. The reversal of 217326564 is 465623712.
The square root of 217326564 is 14742.
It is a perfect power (a square), and thus also a powerful number.
217326564 is a `hidden beast` number, since 2 + 1 + 73 + 26 + 564 = 666.
217326564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 32148900 + 185177664 = 5670^2 + 13608^2 .
It is a tau number, because it is divible by the number of its divisors (243).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (217326569) by changing a digit.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16717422 + ... + 16717434.
Almost surely, 2217326564 is an apocalyptic number.
217326564 is the 14742-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 217326564
217326564 is an abundant number, since it is smaller than the sum of its proper divisors (501233733).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
217326564 is an equidigital number, since it uses as much as digits as its factorization.
217326564 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 68 (or 25 counting only the distinct ones).
The product of its digits is 60480, while the sum is 36.
The cubic root of 217326564 is about 601.2257940097.
Multiplying 217326564 by its sum of digits (36), we get a square (7823756304 = 884522).
217326564 divided by its sum of digits (36) gives a square (6036849 = 24572).
The spelling of 217326564 in words is "two hundred seventeen million, three hundred twenty-six thousand, five hundred sixty-four".
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