Base | Representation |
---|---|
bin | 10111101001101… |
… | …01001101100000 |
3 | 111211022201000022 |
4 | 23310311031200 |
5 | 401242230231 |
6 | 31404213012 |
7 | 4626235130 |
oct | 1364651540 |
9 | 454281008 |
10 | 198398816 |
11 | a1a99a70 |
12 | 5653a168 |
13 | 32146565 |
14 | 1c4c6ac0 |
15 | 1263ec7b |
hex | bd35360 |
198398816 has 96 divisors (see below), whose sum is σ = 494097408. Its totient is φ = 76170240.
The previous prime is 198398813. The next prime is 198398843. The reversal of 198398816 is 618893891.
198398816 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (198398813) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179321 + ... + 180423.
It is an arithmetic number, because the mean of its divisors is an integer number (5146848).
Almost surely, 2198398816 is an apocalyptic number.
198398816 is a gapful number since it is divisible by the number (16) 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 198398816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247048704).
198398816 is an abundant number, since it is smaller than the sum of its proper divisors (295698592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198398816 is a wasteful number, since it uses less digits than its factorization.
198398816 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1204 (or 1196 counting only the distinct ones).
The product of its digits is 746496, while the sum is 53.
The square root of 198398816 is about 14085.4114600888. The cubic root of 198398816 is about 583.2387341200.
The spelling of 198398816 in words is "one hundred ninety-eight million, three hundred ninety-eight thousand, eight hundred sixteen".
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