Base | Representation |
---|---|
bin | 111100010010101… |
… | …0001000101000000 |
3 | 12012222200211120122 |
4 | 1320211101011000 |
5 | 13120344111300 |
6 | 532424355412 |
7 | 101063341544 |
oct | 17045210500 |
9 | 5188624518 |
10 | 2023035200 |
11 | 948a5031a |
12 | 485615b68 |
13 | 263181164 |
14 | 152973a24 |
15 | bc912c85 |
hex | 78951140 |
2023035200 has 84 divisors (see below), whose sum is σ = 5138635392. Its totient is φ = 783091200.
The previous prime is 2023035181. The next prime is 2023035211. The reversal of 2023035200 is 25303202.
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 11 ways as a sum of consecutive naturals, for example, 29207 + ... + 69993.
Almost surely, 22023035200 is an apocalyptic number.
2023035200 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 2023035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569317696).
2023035200 is an abundant number, since it is smaller than the sum of its proper divisors (3115600192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2023035200 is a wasteful number, since it uses less digits than its factorization.
2023035200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40840 (or 40825 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 17.
The square root of 2023035200 is about 44978.1635907915. The cubic root of 2023035200 is about 1264.7396861600.
Adding to 2023035200 its reverse (25303202), we get a palindrome (2048338402).
The spelling of 2023035200 in words is "two billion, twenty-three million, thirty-five thousand, two hundred".
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