Base | Representation |
---|---|
bin | 11001011011100… |
… | …11010010010100 |
3 | 112212102110001102 |
4 | 30231303102110 |
5 | 414103130030 |
6 | 33100245232 |
7 | 5200205336 |
oct | 1455632224 |
9 | 485373042 |
10 | 213333140 |
11 | aa46a389 |
12 | 5b540818 |
13 | 35275037 |
14 | 20493456 |
15 | 13adec45 |
hex | cb73494 |
213333140 has 48 divisors (see below), whose sum is σ = 473558400. Its totient is φ = 80502912.
The previous prime is 213332993. The next prime is 213333143. The reversal of 213333140 is 41333312.
213333140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2133331402 = 91022057244519200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (213333143) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101177 + ... + 103263.
It is an arithmetic number, because the mean of its divisors is an integer number (9865800).
Almost surely, 2213333140 is an apocalyptic number.
213333140 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 213333140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236779200).
213333140 is an abundant number, since it is smaller than the sum of its proper divisors (260225260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213333140 is a wasteful number, since it uses less digits than its factorization.
213333140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2384 (or 2382 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 20.
The square root of 213333140 is about 14605.9282484887. The cubic root of 213333140 is about 597.5204523732.
Adding to 213333140 its reverse (41333312), we get a palindrome (254666452).
The spelling of 213333140 in words is "two hundred thirteen million, three hundred thirty-three thousand, one hundred forty".
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