Base | Representation |
---|---|
bin | 11001001111011… |
… | …00000011010000 |
3 | 112202102000211120 |
4 | 30213230003100 |
5 | 413200340030 |
6 | 33002042240 |
7 | 5150452332 |
oct | 1447540320 |
9 | 482360746 |
10 | 211730640 |
11 | a9575400 |
12 | 5aaa9380 |
13 | 34b33804 |
14 | 20197452 |
15 | 138c5010 |
hex | c9ec0d0 |
211730640 has 240 divisors, whose sum is σ = 755201664. Its totient is φ = 48942080.
The previous prime is 211730621. The next prime is 211730657. The reversal of 211730640 is 46037112.
211730640 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 (240).
It is a super-3 number, since 3×2117306403 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 211730640.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667762 + ... + 668078.
Almost surely, 2211730640 is an apocalyptic number.
211730640 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 211730640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377600832).
211730640 is an abundant number, since it is smaller than the sum of its proper divisors (543471024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211730640 is a wasteful number, since it uses less digits than its factorization.
211730640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 378 (or 361 counting only the distinct ones).
The product of its (nonzero) digits is 1008, while the sum is 24.
The square root of 211730640 is about 14550.9669781771. The cubic root of 211730640 is about 596.0205539208.
Adding to 211730640 its reverse (46037112), we get a palindrome (257767752).
The spelling of 211730640 in words is "two hundred eleven million, seven hundred thirty thousand, six hundred forty".
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