Base | Representation |
---|---|
bin | 111100010010101… |
… | …0000010111101100 |
3 | 12012222200200121020 |
4 | 1320211100113230 |
5 | 13120344013200 |
6 | 532424334140 |
7 | 101063330232 |
oct | 17045202754 |
9 | 5188620536 |
10 | 2023032300 |
11 | 948a49123 |
12 | 485614350 |
13 | 26317ca43 |
14 | 152972952 |
15 | bc911ea0 |
hex | 789505ec |
2023032300 has 144 divisors (see below), whose sum is σ = 6268661280. Its totient is φ = 501923840.
The previous prime is 2023032287. The next prime is 2023032301. The reversal of 2023032300 is 32303202.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 2023032300.
It is not an unprimeable number, because it can be changed into a prime (2023032301) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451672 + ... + 456128.
It is an arithmetic number, because the mean of its divisors is an integer number (43532370).
Almost surely, 22023032300 is an apocalyptic number.
2023032300 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 2023032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134330640).
2023032300 is an abundant number, since it is smaller than the sum of its proper divisors (4245628980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2023032300 is a wasteful number, since it uses less digits than its factorization.
2023032300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4580 (or 4573 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 15.
The square root of 2023032300 is about 44978.1313529142. The cubic root of 2023032300 is about 1264.7390818293.
Adding to 2023032300 its reverse (32303202), we get a palindrome (2055335502).
The spelling of 2023032300 in words is "two billion, twenty-three million, thirty-two thousand, three hundred".
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