| Base | Representation |
|---|---|
| bin | 1100001101100010111… |
| … | …1110010111110000000 |
| 3 | 202001111222000000211000 |
| 4 | 3003120233302332000 |
| 5 | 11414124434312100 |
| 6 | 240213423252000 |
| 7 | 21104624463120 |
| oct | 3033057627600 |
| 9 | 661458000730 |
| 10 | 209794838400 |
| 11 | 80a78798274 |
| 12 | 347aba4a000 |
| 13 | 16a25665b44 |
| 14 | a222cbac80 |
| 15 | 56cd308900 |
| hex | 30d8bf2f80 |
209794838400 has 768 divisors, whose sum is σ = 923708736000. Its totient is φ = 45426769920.
The previous prime is 209794838377. The next prime is 209794838401. The reversal of 209794838400 is 4838497902.
209794838400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2097948384002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (209794838401) 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 95 ways as a sum of consecutive naturals, for example, 11482072 + ... + 11500328.
It is an arithmetic number, because the mean of its divisors is an integer number (1202745750).
Almost surely, 2209794838400 is an apocalyptic number.
209794838400 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 209794838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461854368000).
209794838400 is an abundant number, since it is smaller than the sum of its proper divisors (713913897600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
209794838400 is a wasteful number, since it uses less digits than its factorization.
209794838400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18316 (or 18293 counting only the distinct ones).
The product of its (nonzero) digits is 3483648, while the sum is 54.
The spelling of 209794838400 in words is "two hundred nine billion, seven hundred ninety-four million, eight hundred thirty-eight thousand, four hundred".
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