| Base | Representation |
|---|---|
| bin | 10111101100101… |
| … | …00011001010000 |
| 3 | 111212001111211000 |
| 4 | 23312110121100 |
| 5 | 401342214223 |
| 6 | 31420422000 |
| 7 | 4632450600 |
| oct | 1366243120 |
| 9 | 455044730 |
| 10 | 198788688 |
| 11 | a223597a |
| 12 | 566a7900 |
| 13 | 32251b57 |
| 14 | 1c588c00 |
| 15 | 126ba543 |
| hex | bd94650 |
198788688 has 120 divisors (see below), whose sum is σ = 663826560. Its totient is φ = 56790720.
The previous prime is 198788683. The next prime is 198788693. The reversal of 198788688 is 886887891.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (198788683) and next prime (198788693).
It is a super-2 number, since 2×1987886882 = 79033884953522688, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (198788683) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16473 + ... + 25863.
It is an arithmetic number, because the mean of its divisors is an integer number (5531888).
Almost surely, 2198788688 is an apocalyptic number.
198788688 is a gapful number since it is divisible by the number (18) 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 198788688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331913280).
198788688 is an abundant number, since it is smaller than the sum of its proper divisors (465037872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198788688 is a wasteful number, since it uses less digits than its factorization.
198788688 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9422 (or 9403 counting only the distinct ones).
The product of its digits is 12386304, while the sum is 63.
The square root of 198788688 is about 14099.2442350645. The cubic root of 198788688 is about 583.6205234745.
The spelling of 198788688 in words is "one hundred ninety-eight million, seven hundred eighty-eight thousand, six hundred eighty-eight".
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