Base | Representation |
---|---|
bin | 1000010111101000101110 |
3 | 11010110120000 |
4 | 20113220232 |
5 | 1030201331 |
6 | 115005130 |
7 | 24435255 |
oct | 10275056 |
9 | 4113500 |
10 | 2193966 |
11 | 12693a5 |
12 | 8997a6 |
13 | 5ba808 |
14 | 41179c |
15 | 2d50e6 |
hex | 217a2e |
2193966 has 40 divisors (see below), whose sum is σ = 5096520. Its totient is φ = 704592.
The previous prime is 2193959. The next prime is 2193967. The reversal of 2193966 is 6693912.
2193966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 2193966.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2193967) 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 19 ways as a sum of consecutive naturals, for example, 4465 + ... + 4931.
It is an arithmetic number, because the mean of its divisors is an integer number (127413).
22193966 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2193966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548260).
2193966 is an abundant number, since it is smaller than the sum of its proper divisors (2902554).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2193966 is a wasteful number, since it uses less digits than its factorization.
2193966 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 510 (or 501 counting only the distinct ones).
The product of its digits is 17496, while the sum is 36.
The square root of 2193966 is about 1481.2042397995. The cubic root of 2193966 is about 129.9401302229.
The spelling of 2193966 in words is "two million, one hundred ninety-three thousand, nine hundred sixty-six".
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