| Base | Representation |
|---|---|
| bin | 11001010000000… |
| … | …11100100111000 |
| 3 | 112202120221000110 |
| 4 | 30220003210320 |
| 5 | 413211431000 |
| 6 | 33004104320 |
| 7 | 5151333300 |
| oct | 1450034470 |
| 9 | 482527013 |
| 10 | 211827000 |
| 11 | a9630840 |
| 12 | 5ab350a0 |
| 13 | 34b68628 |
| 14 | 201c0600 |
| 15 | 138e3850 |
| hex | ca03938 |
211827000 has 384 divisors, whose sum is σ = 845095680. Its totient is φ = 43680000.
The previous prime is 211826977. The next prime is 211827001. The reversal of 211827000 is 728112.
211827000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (211827001) 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 95 ways as a sum of consecutive naturals, for example, 1616935 + ... + 1617065.
It is an arithmetic number, because the mean of its divisors is an integer number (2200770).
Almost surely, 2211827000 is an apocalyptic number.
211827000 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 211827000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422547840).
211827000 is an abundant number, since it is smaller than the sum of its proper divisors (633268680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211827000 is a wasteful number, since it uses less digits than its factorization.
211827000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 180 (or 159 counting only the distinct ones).
The product of its (nonzero) digits is 224, while the sum is 21.
The square root of 211827000 is about 14554.2777216872. The cubic root of 211827000 is about 596.1109578261.
It can be divided in two parts, 21182 and 7000, that added together give a palindrome (28182).
The spelling of 211827000 in words is "two hundred eleven million, eight hundred twenty-seven thousand".
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