| Base | Representation |
|---|---|
| bin | 1011111000101101001… |
| … | …0110111100010010000 |
| 3 | 201112002002011020200100 |
| 4 | 2332023102313202100 |
| 5 | 11321200303121000 |
| 6 | 233450340052400 |
| 7 | 20516164055412 |
| oct | 2761322674220 |
| 9 | 645062136610 |
| 10 | 204200442000 |
| 11 | 7966790a475 |
| 12 | 336aa394100 |
| 13 | 16343621109 |
| 14 | 9c51cd09b2 |
| 15 | 54a20dea00 |
| hex | 2f8b4b7890 |
204200442000 has 240 divisors, whose sum is σ = 718656681600. Its totient is φ = 54037152000.
The previous prime is 204200441953. The next prime is 204200442011. The reversal of 204200442000 is 244002402.
204200442000 is a `hidden beast` number, since 2 + 0 + 420 + 0 + 44 + 200 + 0 = 666.
204200442000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 2314701 + ... + 2401299.
It is an arithmetic number, because the mean of its divisors is an integer number (2994402840).
Almost surely, 2204200442000 is an apocalyptic number.
204200442000 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 204200442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359328340800).
204200442000 is an abundant number, since it is smaller than the sum of its proper divisors (514456239600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
204200442000 is a wasteful number, since it uses less digits than its factorization.
204200442000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 86759 (or 86740 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
Adding to 204200442000 its reverse (244002402), we get a palindrome (204444444402).
The spelling of 204200442000 in words is "two hundred four billion, two hundred million, four hundred forty-two thousand".
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