Base | Representation |
---|---|
bin | 11001011100011… |
… | …10001011010000 |
3 | 112212122001010200 |
4 | 30232032023100 |
5 | 414120141110 |
6 | 33102455200 |
7 | 5201144421 |
oct | 1456161320 |
9 | 485561120 |
10 | 213443280 |
11 | aa535106 |
12 | 5b594500 |
13 | 352b31cb |
14 | 204c1648 |
15 | 13b126c0 |
hex | cb8e2d0 |
213443280 has 120 divisors (see below), whose sum is σ = 719451720. Its totient is φ = 56709120.
The previous prime is 213443273. The next prime is 213443281. The reversal of 213443280 is 82344312.
213443280 is a `hidden beast` number, since 213 + 443 + 2 + 8 + 0 = 666.
213443280 is digitally balanced in base 3, 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 4 ways, for example, as 166464 + 213276816 = 408^2 + 14604^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (213443281) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374836 + ... + 375404.
It is an arithmetic number, because the mean of its divisors is an integer number (5995431).
Almost surely, 2213443280 is an apocalyptic number.
213443280 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 213443280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359725860).
213443280 is an abundant number, since it is smaller than the sum of its proper divisors (506008440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213443280 is a wasteful number, since it uses less digits than its factorization.
213443280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1109 (or 1100 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 213443280 is about 14609.6981488325. The cubic root of 213443280 is about 597.6232643105.
Adding to 213443280 its reverse (82344312), we get a palindrome (295787592).
The spelling of 213443280 in words is "two hundred thirteen million, four hundred forty-three thousand, two hundred eighty".
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