| Base | Representation |
|---|---|
| bin | 10111100110110… |
| … | …00001111010000 |
| 3 | 111210121100122000 |
| 4 | 23303120033100 |
| 5 | 401143034000 |
| 6 | 31352114000 |
| 7 | 4623060645 |
| oct | 1363301720 |
| 9 | 453540560 |
| 10 | 198018000 |
| 11 | a1859944 |
| 12 | 56395900 |
| 13 | 3204211b |
| 14 | 1c427dcc |
| 15 | 125b7000 |
| hex | bcd83d0 |
198018000 has 320 divisors, whose sum is σ = 750547200. Its totient is φ = 49766400.
The previous prime is 198017999. The next prime is 198018001. The reversal of 198018000 is 810891.
198018000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (198017999) and next prime (198018001).
It is a super-2 number, since 2×1980180002 = 78422256648000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (198018001) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1025904 + ... + 1026096.
It is an arithmetic number, because the mean of its divisors is an integer number (2345460).
Almost surely, 2198018000 is an apocalyptic number.
198018000 is a gapful number since it is divisible by the number (10) 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 198018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375273600).
198018000 is an abundant number, since it is smaller than the sum of its proper divisors (552529200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198018000 is a wasteful number, since it uses less digits than its factorization.
198018000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 244 (or 222 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 27.
The square root of 198018000 is about 14071.8868670836. The cubic root of 198018000 is about 582.8653298405.
Adding to 198018000 its reverse (810891), we get a palindrome (198828891).
The spelling of 198018000 in words is "one hundred ninety-eight million, eighteen thousand".
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