Base | Representation |
---|---|
bin | 11001010100000… |
… | …01110011000010 |
3 | 112210120012012200 |
4 | 30222001303002 |
5 | 413330002002 |
6 | 33023134030 |
7 | 5155615503 |
oct | 1452016302 |
9 | 483505180 |
10 | 212344002 |
11 | a9954212 |
12 | 5b144316 |
13 | 34cb9a50 |
14 | 202b6baa |
15 | 13996b1c |
hex | ca81cc2 |
212344002 has 48 divisors (see below), whose sum is σ = 507576888. Its totient is φ = 63740160.
The previous prime is 212344001. The next prime is 212344081. The reversal of 212344002 is 200443212.
212344002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 86657481 + 125686521 = 9309^2 + 11211^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (212344001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1473 + ... + 20660.
Almost surely, 2212344002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 212344002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253788444).
212344002 is an abundant number, since it is smaller than the sum of its proper divisors (295232886).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212344002 is a wasteful number, since it uses less digits than its factorization.
212344002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22195 (or 22192 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 212344002 is about 14572.0280674997. The cubic root of 212344002 is about 596.5955359099.
Adding to 212344002 its reverse (200443212), we get a palindrome (412787214).
The spelling of 212344002 in words is "two hundred twelve million, three hundred forty-four thousand, two".
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