Base | Representation |
---|---|
bin | 11001010001111… |
… | …11001010010000 |
3 | 112210001022210120 |
4 | 30220333022100 |
5 | 413242233211 |
6 | 33013230240 |
7 | 5153400651 |
oct | 1450771220 |
9 | 483038716 |
10 | 212071056 |
11 | a978813a |
12 | 5b032380 |
13 | 34c22742 |
14 | 20245528 |
15 | 13940d06 |
hex | ca3f290 |
212071056 has 80 divisors (see below), whose sum is σ = 582712704. Its totient is φ = 66230272.
The previous prime is 212071051. The next prime is 212071081. The reversal of 212071056 is 650170212.
212071056 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 (24).
It is not an unprimeable number, because it can be changed into a prime (212071051) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 238645 + ... + 239531.
Almost surely, 2212071056 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 212071056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291356352).
212071056 is an abundant number, since it is smaller than the sum of its proper divisors (370641648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212071056 is a wasteful number, since it uses less digits than its factorization.
212071056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1208 (or 1202 counting only the distinct ones).
The product of its (nonzero) digits is 840, while the sum is 24.
The square root of 212071056 is about 14562.6596471936. The cubic root of 212071056 is about 596.3398059245.
The spelling of 212071056 in words is "two hundred twelve million, seventy-one thousand, fifty-six".
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