Base | Representation |
---|---|
bin | 11001001011011… |
… | …11111001010100 |
3 | 112201110012020202 |
4 | 30211233321110 |
5 | 413033101400 |
6 | 32543120032 |
7 | 5143233605 |
oct | 1445577124 |
9 | 481405222 |
10 | 211222100 |
11 | a9258321 |
12 | 5a8a3018 |
13 | 349b61bb |
14 | 200a3dac |
15 | 138244d5 |
hex | c96fe54 |
211222100 has 36 divisors (see below), whose sum is σ = 462824544. Its totient is φ = 83664480.
The previous prime is 211222097. The next prime is 211222111. The reversal of 211222100 is 1222112.
It is a happy number.
211222100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2112221002 = 89229551056820000, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47 + ... + 20553.
Almost surely, 2211222100 is an apocalyptic number.
211222100 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 211222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231412272).
211222100 is an abundant number, since it is smaller than the sum of its proper divisors (251602444).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211222100 is a wasteful number, since it uses less digits than its factorization.
211222100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 20624 (or 20617 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 11.
The square root of 211222100 is about 14533.4820328784. The cubic root of 211222100 is about 595.5429923022.
Adding to 211222100 its reverse (1222112), we get a palindrome (212444212).
The spelling of 211222100 in words is "two hundred eleven million, two hundred twenty-two thousand, one hundred".
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