Base | Representation |
---|---|
bin | 1100010101110110000… |
… | …0100111110100011100 |
3 | 202021021012020021002022 |
4 | 3011131200213310130 |
5 | 11433210142332200 |
6 | 241222432115312 |
7 | 21214052136056 |
oct | 3053540476434 |
9 | 667235207068 |
10 | 212022230300 |
11 | 81a11026821 |
12 | 35111995b38 |
13 | 16cbbc6830a |
14 | a394a488d6 |
15 | 57adb36885 |
hex | 315d827d1c |
212022230300 has 144 divisors (see below), whose sum is σ = 500702952960. Its totient is φ = 77630192640.
The previous prime is 212022230293. The next prime is 212022230309. The reversal of 212022230300 is 3032220212.
212022230300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2120222303002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (17).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (212022230309) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8986319 + ... + 9009881.
It is an arithmetic number, because the mean of its divisors is an integer number (3477103840).
Almost surely, 2212022230300 is an apocalyptic number.
212022230300 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 212022230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250351476480).
212022230300 is an abundant number, since it is smaller than the sum of its proper divisors (288680722660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212022230300 is a wasteful number, since it uses less digits than its factorization.
212022230300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23740 (or 23733 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 17.
Adding to 212022230300 its reverse (3032220212), we get a palindrome (215054450512).
The spelling of 212022230300 in words is "two hundred twelve billion, twenty-two million, two hundred thirty thousand, three hundred".
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