Base | Representation |
---|---|
bin | 1000101110110101101000 |
3 | 11022021220210 |
4 | 20232311220 |
5 | 1041222000 |
6 | 121021120 |
7 | 25312320 |
oct | 10566550 |
9 | 4267823 |
10 | 2289000 |
11 | 132383a |
12 | 9247a0 |
13 | 621b4c |
14 | 438280 |
15 | 303350 |
hex | 22ed68 |
2289000 has 128 divisors (see below), whose sum is σ = 8236800. Its totient is φ = 518400.
The previous prime is 2288953. The next prime is 2289013. The reversal of 2289000 is 9822.
2289000 is digitally balanced in base 2, 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 (21).
It is a congruent number.
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 31 ways as a sum of consecutive naturals, for example, 20946 + ... + 21054.
It is an arithmetic number, because the mean of its divisors is an integer number (64350).
22289000 is an apocalyptic number.
2289000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2289000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118400).
2289000 is an abundant number, since it is smaller than the sum of its proper divisors (5947800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2289000 is a wasteful number, since it uses less digits than its factorization.
2289000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 140 (or 126 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 21.
The square root of 2289000 is about 1512.9441496632. The cubic root of 2289000 is about 131.7898400495.
The spelling of 2289000 in words is "two million, two hundred eighty-nine thousand".
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