| Base | Representation |
|---|---|
| bin | 1011110001101111001… |
| … | …1101100101010000000 |
| 3 | 201100020201120221121201 |
| 4 | 2330123303230222000 |
| 5 | 11303332440000000 |
| 6 | 232541002030544 |
| 7 | 20421632423632 |
| oct | 2743363545200 |
| 9 | 640221527551 |
| 10 | 202330000000 |
| 11 | 78898012737 |
| 12 | 33267aa8454 |
| 13 | 16105c692bb |
| 14 | 9b1571ca52 |
| 15 | 53e2cbe96a |
| hex | 2f1bceca80 |
202330000000 has 128 divisors (see below), whose sum is σ = 503872733520. Its totient is φ = 80928000000.
The previous prime is 202329999967. The next prime is 202330000007. The reversal of 202330000000 is 33202.
202330000000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 184700533824 + 17629466176 = 429768^2 + 132776^2 .
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (202330000007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9989884 + ... + 10010116.
Almost surely, 2202330000000 is an apocalyptic number.
202330000000 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 202330000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251936366760).
202330000000 is an abundant number, since it is smaller than the sum of its proper divisors (301542733520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202330000000 is an frugal number, since it uses more digits than its factorization.
202330000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20282 (or 20240 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 10.
Adding to 202330000000 its reverse (33202), we get a palindrome (202330033202).
The spelling of 202330000000 in words is "two hundred two billion, three hundred thirty million", and thus it is an aban number.
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