| Base | Representation |
|---|---|
| bin | 111011111110001… |
| … | …1001110110000000 |
| 3 | 12012020112121110220 |
| 4 | 1313330121312000 |
| 5 | 13110123320300 |
| 6 | 531403023040 |
| 7 | 100603315326 |
| oct | 16774316600 |
| 9 | 5166477426 |
| 10 | 2012323200 |
| 11 | 9429a4228 |
| 12 | 481b0aa80 |
| 13 | 260ba04b4 |
| 14 | 151385d16 |
| 15 | bb9e8da0 |
| hex | 77f19d80 |
2012323200 has 192 divisors, whose sum is σ = 6699519120. Its totient is φ = 530841600.
The previous prime is 2012323177. The next prime is 2012323211. The reversal of 2012323200 is 23232102.
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-2 number, since 2×20123232002 = 8098889322516480000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 2012323200.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 930120 + ... + 932280.
Almost surely, 22012323200 is an apocalyptic number.
2012323200 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 2012323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349759560).
2012323200 is an abundant number, since it is smaller than the sum of its proper divisors (4687195920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2012323200 is a wasteful number, since it uses less digits than its factorization.
2012323200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2285 (or 2268 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 2012323200 is about 44858.9255332760. The cubic root of 2012323200 is about 1262.5034630497.
Adding to 2012323200 its reverse (23232102), we get a palindrome (2035555302).
The spelling of 2012323200 in words is "two billion, twelve million, three hundred twenty-three thousand, two hundred".
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