Base | Representation |
---|---|
bin | 10111101100110… |
… | …01010110100000 |
3 | 111212002112200000 |
4 | 23312121112200 |
5 | 401343341432 |
6 | 31421100000 |
7 | 4632564024 |
oct | 1366312640 |
9 | 455075600 |
10 | 198808992 |
11 | a224a158 |
12 | 566b7600 |
13 | 3225b175 |
14 | 1c592384 |
15 | 126c157c |
hex | bd995a0 |
198808992 has 144 divisors (see below), whose sum is σ = 603019872. Its totient is φ = 64385280.
The previous prime is 198808979. The next prime is 198808993. The reversal of 198808992 is 299808891.
It is a happy number.
198808992 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 (144).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (198808993) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287367 + ... + 288057.
It is an arithmetic number, because the mean of its divisors is an integer number (4187638).
Almost surely, 2198808992 is an apocalyptic number.
198808992 is a gapful number since it is divisible by the number (12) 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 198808992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301509936).
198808992 is an abundant number, since it is smaller than the sum of its proper divisors (404210880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198808992 is an equidigital number, since it uses as much as digits as its factorization.
198808992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 753 (or 733 counting only the distinct ones).
The product of its (nonzero) digits is 746496, while the sum is 54.
The square root of 198808992 is about 14099.9642552738. The cubic root of 198808992 is about 583.6403928608.
The spelling of 198808992 in words is "one hundred ninety-eight million, eight hundred eight thousand, nine hundred ninety-two".
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