Base | Representation |
---|---|
bin | 11001011011100… |
… | …00100111100100 |
3 | 112212101220001200 |
4 | 30231300213210 |
5 | 414102302322 |
6 | 33100122500 |
7 | 5200131435 |
oct | 1455604744 |
9 | 485356050 |
10 | 213322212 |
11 | aa462154 |
12 | 5b536430 |
13 | 3527007c |
14 | 2048d48c |
15 | 13adb8ac |
hex | cb709e4 |
213322212 has 36 divisors (see below), whose sum is σ = 539675136. Its totient is φ = 71048880.
The previous prime is 213322211. The next prime is 213322223. The reversal of 213322212 is 212223312.
213322212 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×2133222122 = 91012732265145888, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (213322211) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81037 + ... + 83627.
It is an arithmetic number, because the mean of its divisors is an integer number (14990976).
Almost surely, 2213322212 is an apocalyptic number.
It is an amenable number.
213322212 is an abundant number, since it is smaller than the sum of its proper divisors (326352924).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213322212 is a wasteful number, since it uses less digits than its factorization.
213322212 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4888 (or 4883 counting only the distinct ones).
The product of its digits is 288, while the sum is 18.
The square root of 213322212 is about 14605.5541490215. The cubic root of 213322212 is about 597.5102495280.
Adding to 213322212 its reverse (212223312), we get a palindrome (425545524).
It can be divided in two parts, 21 and 3322212, that added together give a palindrome (3322233).
The spelling of 213322212 in words is "two hundred thirteen million, three hundred twenty-two thousand, two hundred twelve".
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