Base | Representation |
---|---|
bin | 1000010111001001000000 |
3 | 11010100202211 |
4 | 20113021000 |
5 | 1030120221 |
6 | 114551504 |
7 | 24426325 |
oct | 10271100 |
9 | 4110684 |
10 | 2191936 |
11 | 126791a |
12 | 898594 |
13 | 5b9906 |
14 | 410b4c |
15 | 2d46e1 |
hex | 217240 |
2191936 has 28 divisors (see below), whose sum is σ = 4503420. Its totient is φ = 1057280.
The previous prime is 2191883. The next prime is 2191949. The reversal of 2191936 is 6391912.
It can be written as a sum of positive squares in 2 ways, for example, as 1638400 + 553536 = 1280^2 + 744^2 .
It is a junction number, because it is equal to n+sod(n) for n = 2191898 and 2191907.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1266 + ... + 2446.
22191936 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 2191936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251710).
2191936 is an abundant number, since it is smaller than the sum of its proper divisors (2311484).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2191936 is a wasteful number, since it uses less digits than its factorization.
2191936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1222 (or 1212 counting only the distinct ones).
The product of its digits is 2916, while the sum is 31.
The square root of 2191936 is about 1480.5188279789. The cubic root of 2191936 is about 129.9000415037.
The spelling of 2191936 in words is "two million, one hundred ninety-one thousand, nine hundred thirty-six".
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