| Base | Representation |
|---|---|
| bin | 1100010010111001111… |
| … | …0110011001000100000 |
| 3 | 202012020012120112211010 |
| 4 | 3010232132303020200 |
| 5 | 11430101201120300 |
| 6 | 241012245020520 |
| 7 | 21155361525606 |
| oct | 3045636631040 |
| 9 | 665205515733 |
| 10 | 211233223200 |
| 11 | 8164671403a |
| 12 | 34b316b4740 |
| 13 | 16bc4663bcc |
| 14 | a31bd41876 |
| 15 | 5764731a50 |
| hex | 312e7b3220 |
211233223200 has 288 divisors, whose sum is σ = 694105324416. Its totient is φ = 55795548160.
The previous prime is 211233223169. The next prime is 211233223207. The reversal of 211233223200 is 2322332112.
It is a happy number.
211233223200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2112332232002 (a number of 23 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (211233223207) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 141481654 + ... + 141483146.
It is an arithmetic number, because the mean of its divisors is an integer number (2410087932).
Almost surely, 2211233223200 is an apocalyptic number.
211233223200 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 211233223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347052662208).
211233223200 is an abundant number, since it is smaller than the sum of its proper divisors (482872101216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211233223200 is a wasteful number, since it uses less digits than its factorization.
211233223200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2036 (or 2023 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 21.
Adding to 211233223200 its reverse (2322332112), we get a palindrome (213555555312).
The spelling of 211233223200 in words is "two hundred eleven billion, two hundred thirty-three million, two hundred twenty-three thousand, two hundred".
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