| Base | Representation |
|---|---|
| bin | 11001010000001… |
| … | …10111110011000 |
| 3 | 112202121122010000 |
| 4 | 30220012332120 |
| 5 | 413212402140 |
| 6 | 33004253000 |
| 7 | 5151422004 |
| oct | 1450067630 |
| 9 | 482548100 |
| 10 | 211840920 |
| 11 | a9640245 |
| 12 | 5ab41160 |
| 13 | 34b71a75 |
| 14 | 201c5704 |
| 15 | 138e7a30 |
| hex | ca06f98 |
211840920 has 160 divisors (see below), whose sum is σ = 718391520. Its totient is φ = 55987200.
The previous prime is 211840907. The next prime is 211840921. The reversal of 211840920 is 29048112.
211840920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (211840921) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 489024 + ... + 489456.
It is an arithmetic number, because the mean of its divisors is an integer number (4489947).
Almost surely, 2211840920 is an apocalyptic number.
211840920 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 211840920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359195760).
211840920 is an abundant number, since it is smaller than the sum of its proper divisors (506550600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211840920 is a wasteful number, since it uses less digits than its factorization.
211840920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 607 (or 594 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 27.
The square root of 211840920 is about 14554.7559237522. The cubic root of 211840920 is about 596.1240151524.
The spelling of 211840920 in words is "two hundred eleven million, eight hundred forty thousand, nine hundred twenty".
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