Base | Representation |
---|---|
bin | 11001010010110… |
… | …10001011000000 |
3 | 112210020221120100 |
4 | 30221122023000 |
5 | 413304303241 |
6 | 33015442400 |
7 | 5154341346 |
oct | 1451321300 |
9 | 483227510 |
10 | 212181696 |
11 | a9853281 |
12 | 5b086400 |
13 | 34c60bcc |
14 | 20273996 |
15 | 139639b6 |
hex | ca5a2c0 |
212181696 has 84 divisors (see below), whose sum is σ = 615162600. Its totient is φ = 69915648.
The previous prime is 212181679. The next prime is 212181757. The reversal of 212181696 is 696181212.
212181696 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 (36).
It is a nude number because it is divisible by every one of its digits.
It is an alternating number because its digits alternate between even and odd.
It is a self number, because there is not a number n which added to its sum of digits gives 212181696.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 49195 + ... + 53333.
Almost surely, 2212181696 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 212181696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307581300).
212181696 is an abundant number, since it is smaller than the sum of its proper divisors (402980904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212181696 is a wasteful number, since it uses less digits than its factorization.
212181696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4246 (or 4233 counting only the distinct ones).
The product of its digits is 10368, while the sum is 36.
The square root of 212181696 is about 14566.4579084965. The cubic root of 212181696 is about 596.4434937587.
The spelling of 212181696 in words is "two hundred twelve million, one hundred eighty-one thousand, six hundred ninety-six".
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