Base | Representation |
---|---|
bin | 1000000100001011110000 |
3 | 10222102020222 |
4 | 20010023300 |
5 | 1020124123 |
6 | 113152212 |
7 | 23654051 |
oct | 10041360 |
9 | 3872228 |
10 | 2114288 |
11 | 1214550 |
12 | 85b668 |
13 | 590477 |
14 | 3d0728 |
15 | 2bb6c8 |
hex | 2042f0 |
2114288 has 40 divisors (see below), whose sum is σ = 4593456. Its totient is φ = 934400.
The previous prime is 2114269. The next prime is 2114297. The reversal of 2114288 is 8824112.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
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 7 ways as a sum of consecutive naturals, for example, 7070 + ... + 7362.
22114288 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 2114288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296728).
2114288 is an abundant number, since it is smaller than the sum of its proper divisors (2479168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2114288 is a wasteful number, since it uses less digits than its factorization.
2114288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 353 (or 347 counting only the distinct ones).
The product of its digits is 1024, while the sum is 26.
The square root of 2114288 is about 1454.0591459772. The cubic root of 2114288 is about 128.3476875307.
It can be divided in two parts, 21142 and 88, that multiplied together give a square (1860496 = 13642).
The spelling of 2114288 in words is "two million, one hundred fourteen thousand, two hundred eighty-eight".
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