| Base | Representation |
|---|---|
| bin | 11001010010010… |
| … | …10100100000000 |
| 3 | 112210010200212100 |
| 4 | 30221022210000 |
| 5 | 413300232020 |
| 6 | 33014230400 |
| 7 | 5153654061 |
| oct | 1451124400 |
| 9 | 483120770 |
| 10 | 212117760 |
| 11 | a980a238 |
| 12 | 5b055400 |
| 13 | 34c3aa8a |
| 14 | 20258568 |
| 15 | 1394ea90 |
| hex | ca4a900 |
212117760 has 108 divisors (see below), whose sum is σ = 733945212. Its totient is φ = 56561664.
The previous prime is 212117677. The next prime is 212117761. The reversal of 212117760 is 67711212.
It can be written as a sum of positive squares in 2 ways, for example, as 65804544 + 146313216 = 8112^2 + 12096^2 .
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 not an unprimeable number, because it can be changed into a prime (212117761) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2314 + ... + 20726.
It is an arithmetic number, because the mean of its divisors is an integer number (6795789).
Almost surely, 2212117760 is an apocalyptic number.
212117760 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 212117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366972606).
212117760 is an abundant number, since it is smaller than the sum of its proper divisors (521827452).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212117760 is a wasteful number, since it uses less digits than its factorization.
212117760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18440 (or 18423 counting only the distinct ones).
The product of its (nonzero) digits is 1176, while the sum is 27.
The square root of 212117760 is about 14564.2631121523. The cubic root of 212117760 is about 596.3835796334.
Adding to 212117760 its reverse (67711212), we get a palindrome (279828972).
It can be divided in two parts, 2121 and 17760, that added together give a square (19881 = 1412).
The spelling of 212117760 in words is "two hundred twelve million, one hundred seventeen thousand, seven hundred sixty".
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