| Base | Representation |
|---|---|
| bin | 10011110010100… |
| … | …00100111100000 |
| 3 | 102120100221100100 |
| 4 | 21321100213200 |
| 5 | 314444131331 |
| 6 | 24250022400 |
| 7 | 4054010136 |
| oct | 1171204740 |
| 9 | 376327310 |
| 10 | 166005216 |
| 11 | 857841a3 |
| 12 | 47717a00 |
| 13 | 28513c50 |
| 14 | 18093756 |
| 15 | e891ae6 |
| hex | 9e509e0 |
166005216 has 144 divisors (see below), whose sum is σ = 514594080. Its totient is φ = 50457600.
The previous prime is 166005211. The next prime is 166005227. The reversal of 166005216 is 612500661.
It is a happy number.
166005216 is a `hidden beast` number, since 1 + 6 + 600 + 52 + 1 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
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 self number, because there is not a number n which added to its sum of digits gives 166005216.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (166005211) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377925 + ... + 378363.
It is an arithmetic number, because the mean of its divisors is an integer number (3573570).
Almost surely, 2166005216 is an apocalyptic number.
166005216 is a gapful number since it is divisible by the number (16) 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 166005216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257297040).
166005216 is an abundant number, since it is smaller than the sum of its proper divisors (348588864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
166005216 is a wasteful number, since it uses less digits than its factorization.
166005216 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 569 (or 558 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 27.
The square root of 166005216 is about 12884.3011451922. The cubic root of 166005216 is about 549.5922222605.
Adding to 166005216 its reverse (612500661), we get a palindrome (778505877).
The spelling of 166005216 in words is "one hundred sixty-six million, five thousand, two hundred sixteen".
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