| Base | Representation |
|---|---|
| bin | 1011101001000011111… |
| … | …0111000101110100000 |
| 3 | 201010020101222102001202 |
| 4 | 2322100332320232200 |
| 5 | 11234100212300000 |
| 6 | 231513521220332 |
| 7 | 20310131412626 |
| oct | 2722076705640 |
| 9 | 633211872052 |
| 10 | 200000900000 |
| 11 | 77902326400 |
| 12 | 32917a916a8 |
| 13 | 15b24575a15 |
| 14 | 9974277516 |
| 15 | 53085a0dd5 |
| hex | 2e90fb8ba0 |
200000900000 has 216 divisors, whose sum is σ = 541000022220. Its totient is φ = 72723200000.
The previous prime is 200000899999. The next prime is 200000900009. The reversal of 200000900000 is 9000002.
200000900000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 2783195536 + 197217704464 = 52756^2 + 444092^2 .
It is a Harshad number since it is a multiple of its sum of digits (11).
200000900000 is a modest number, since divided by 900000 gives 200000 as remainder.
It is not an unprimeable number, because it can be changed into a prime (200000900009) 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 35 ways as a sum of consecutive naturals, for example, 12091736 + ... + 12108264.
Almost surely, 2200000900000 is an apocalyptic number.
200000900000 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 200000900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270500011110).
200000900000 is an abundant number, since it is smaller than the sum of its proper divisors (340999122220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
200000900000 is an equidigital number, since it uses as much as digits as its factorization.
200000900000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16586 (or 16547 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 11.
Adding to 200000900000 its reverse (9000002), we get a palindrome (200009900002).
The spelling of 200000900000 in words is "two hundred billion, nine hundred thousand".
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