| Base | Representation |
|---|---|
| bin | 10111100111100… |
| … | …10001110000000 |
| 3 | 111210210202121100 |
| 4 | 23303302032000 |
| 5 | 401204440131 |
| 6 | 31354254400 |
| 7 | 4624013130 |
| oct | 1363621600 |
| 9 | 453722540 |
| 10 | 198124416 |
| 11 | a1921896 |
| 12 | 56427400 |
| 13 | 3207b6a9 |
| 14 | 1c454ac0 |
| 15 | 125d87e6 |
| hex | bcf2380 |
198124416 has 192 divisors, whose sum is σ = 661939200. Its totient is φ = 55710720.
The previous prime is 198124363. The next prime is 198124417. The reversal of 198124416 is 614421891.
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-3 number, since 3×1981244163 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
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 (198124417) 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, 636901 + ... + 637211.
It is an arithmetic number, because the mean of its divisors is an integer number (3447600).
Almost surely, 2198124416 is an apocalyptic number.
198124416 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 198124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330969600).
198124416 is an abundant number, since it is smaller than the sum of its proper divisors (463814784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198124416 is a wasteful number, since it uses less digits than its factorization.
198124416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 417 (or 402 counting only the distinct ones).
The product of its digits is 13824, while the sum is 36.
The square root of 198124416 is about 14075.6675152548. The cubic root of 198124416 is about 582.9697228573.
The spelling of 198124416 in words is "one hundred ninety-eight million, one hundred twenty-four thousand, four hundred sixteen".
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