| Base | Representation |
|---|---|
| bin | 10111101100100… |
| … | …00110110000000 |
| 3 | 111212000202212100 |
| 4 | 23312100312000 |
| 5 | 401341233034 |
| 6 | 31420230400 |
| 7 | 4632360312 |
| oct | 1366206600 |
| 9 | 455022770 |
| 10 | 198774144 |
| 11 | a2225a58 |
| 12 | 5669b400 |
| 13 | 3224834a |
| 14 | 1c5837b2 |
| 15 | 126b6099 |
| hex | bd90d80 |
198774144 has 96 divisors (see below), whose sum is σ = 577605600. Its totient is φ = 65608704.
The previous prime is 198774137. The next prime is 198774151. The reversal of 198774144 is 441477891.
It is a happy number.
198774144 is digitally balanced in base 3, 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 (198774137) and next prime (198774151).
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×1987741442 = 79022320645865472, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 198774144.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124777 + ... + 126359.
It is an arithmetic number, because the mean of its divisors is an integer number (6016725).
Almost surely, 2198774144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 198774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288802800).
198774144 is an abundant number, since it is smaller than the sum of its proper divisors (378831456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198774144 is a wasteful number, since it uses less digits than its factorization.
198774144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1712 (or 1697 counting only the distinct ones).
The product of its digits is 225792, while the sum is 45.
The square root of 198774144 is about 14098.7284533039. The cubic root of 198774144 is about 583.6062899619.
The spelling of 198774144 in words is "one hundred ninety-eight million, seven hundred seventy-four thousand, one hundred forty-four".
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