| Base | Representation |
|---|---|
| bin | 10111100111110… |
| … | …11011000000000 |
| 3 | 111210212200001101 |
| 4 | 23303323120000 |
| 5 | 401212140140 |
| 6 | 31355144144 |
| 7 | 4624230355 |
| oct | 1363733000 |
| 9 | 453780041 |
| 10 | 198161920 |
| 11 | a1947a90 |
| 12 | 56445054 |
| 13 | 32092798 |
| 14 | 1c46462c |
| 15 | 125e499a |
| hex | bcfb600 |
198161920 has 160 divisors (see below), whose sum is σ = 537394176. Its totient is φ = 69427200.
The previous prime is 198161903. The next prime is 198161921. The reversal of 198161920 is 29161891.
198161920 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 (160).
It is a self number, because there is not a number n which added to its sum of digits gives 198161920.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (198161921) 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, 872847 + ... + 873073.
Almost surely, 2198161920 is an apocalyptic number.
198161920 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 198161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268697088).
198161920 is an abundant number, since it is smaller than the sum of its proper divisors (339232256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198161920 is a wasteful number, since it uses less digits than its factorization.
198161920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 292 (or 276 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 37.
The square root of 198161920 is about 14076.9996803296. Note that the first 3 decimals coincide. The cubic root of 198161920 is about 583.0065049923.
It can be divided in two parts, 19816 and 1920, that added together give a triangular number (21736 = T208).
The spelling of 198161920 in words is "one hundred ninety-eight million, one hundred sixty-one thousand, nine hundred twenty".
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