Base | Representation |
---|---|
bin | 1000011000100010011000 |
3 | 11010122121200 |
4 | 20120202120 |
5 | 1030311111 |
6 | 115034200 |
7 | 24452106 |
oct | 10304230 |
9 | 4118550 |
10 | 2197656 |
11 | 127114a |
12 | 89b960 |
13 | 5bc3b6 |
14 | 412c76 |
15 | 2d6256 |
hex | 218898 |
2197656 has 48 divisors (see below), whose sum is σ = 6023160. Its totient is φ = 723840.
The previous prime is 2197651. The next prime is 2197681. The reversal of 2197656 is 6567912.
2197656 is a nontrivial binomial coefficient, being equal to C(2097, 2).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 2197656.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2197651) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 9316 + ... + 9548.
22197656 is an apocalyptic number.
2197656 is the 2096-th triangular number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2197656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011580).
2197656 is an abundant number, since it is smaller than the sum of its proper divisors (3825504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2197656 is a wasteful number, since it uses less digits than its factorization.
2197656 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 376 (or 369 counting only the distinct ones).
The product of its digits is 22680, while the sum is 36.
The square root of 2197656 is about 1482.4493245976. The cubic root of 2197656 is about 130.0129375684.
It can be divided in two parts, 219 and 7656, that added together give a triangular number (7875 = T125).
The spelling of 2197656 in words is "two million, one hundred ninety-seven thousand, six hundred fifty-six".
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