Base | Representation |
---|---|
bin | 11001010001011… |
… | …10000111000100 |
3 | 112202220210000001 |
4 | 30220232013010 |
5 | 413233014340 |
6 | 33011531044 |
7 | 5152660234 |
oct | 1450560704 |
9 | 482823001 |
10 | 212001220 |
11 | a973a722 |
12 | 5abb9a84 |
13 | 34bc9a12 |
14 | 20227cc4 |
15 | 1392a29a |
hex | ca2e1c4 |
212001220 has 48 divisors (see below), whose sum is σ = 472953600. Its totient is φ = 79547904.
The previous prime is 212001149. The next prime is 212001233. The reversal of 212001220 is 22100212.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 212001197 and 212001206.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123931 + ... + 125629.
It is an arithmetic number, because the mean of its divisors is an integer number (9853200).
Almost surely, 2212001220 is an apocalyptic number.
212001220 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 212001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236476800).
212001220 is an abundant number, since it is smaller than the sum of its proper divisors (260952380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212001220 is a wasteful number, since it uses less digits than its factorization.
212001220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2092 (or 2090 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
The square root of 212001220 is about 14560.2616734728. The cubic root of 212001220 is about 596.2743395667.
Adding to 212001220 its reverse (22100212), we get a palindrome (234101432).
The spelling of 212001220 in words is "two hundred twelve million, one thousand, two hundred twenty".
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