| Base | Representation |
|---|---|
| bin | 11001010001100… |
| … | …00110010111100 |
| 3 | 112202221100002110 |
| 4 | 30220300302330 |
| 5 | 413233342340 |
| 6 | 33012054020 |
| 7 | 5153034300 |
| oct | 1450606274 |
| 9 | 482840073 |
| 10 | 212012220 |
| 11 | a9747a12 |
| 12 | 5b004310 |
| 13 | 34c01a24 |
| 14 | 2022bd00 |
| 15 | 1392d680 |
| hex | ca30cbc |
212012220 has 144 divisors (see below), whose sum is σ = 709581600. Its totient is φ = 47126016.
The previous prime is 212012209. The next prime is 212012263. The reversal of 212012220 is 22210212.
212012220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 212012196 and 212012205.
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 107806 + ... + 109754.
It is an arithmetic number, because the mean of its divisors is an integer number (4927650).
Almost surely, 2212012220 is an apocalyptic number.
212012220 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 212012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354790800).
212012220 is an abundant number, since it is smaller than the sum of its proper divisors (497569380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212012220 is a wasteful number, since it uses less digits than its factorization.
212012220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2012 (or 2003 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
The square root of 212012220 is about 14560.6394090370. The cubic root of 212012220 is about 596.2846522499.
Adding to 212012220 its reverse (22210212), we get a palindrome (234222432).
The spelling of 212012220 in words is "two hundred twelve million, twelve thousand, two hundred twenty".
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