| Base | Representation |
|---|---|
| bin | 10011100100011… |
| … | …01110101010000 |
| 3 | 102102220010112120 |
| 4 | 21302031311100 |
| 5 | 314011040200 |
| 6 | 24142254240 |
| 7 | 4032220041 |
| oct | 1162156520 |
| 9 | 372803476 |
| 10 | 164158800 |
| 11 | 84732a33 |
| 12 | 46b87380 |
| 13 | 280186b0 |
| 14 | 17b328c8 |
| 15 | e6299a0 |
| hex | 9c8dd50 |
164158800 has 240 divisors, whose sum is σ = 600586560. Its totient is φ = 37969920.
The previous prime is 164158789. The next prime is 164158801. The reversal of 164158800 is 8851461.
164158800 is digitally balanced in base 3, 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 (240).
It is a super-2 number, since 2×1641588002 = 53896223234880000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (164158801) 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 47 ways as a sum of consecutive naturals, for example, 264891 + ... + 265509.
It is an arithmetic number, because the mean of its divisors is an integer number (2502444).
Almost surely, 2164158800 is an apocalyptic number.
164158800 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 164158800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300293280).
164158800 is an abundant number, since it is smaller than the sum of its proper divisors (436427760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164158800 is a wasteful number, since it uses less digits than its factorization.
164158800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 670 (or 659 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 33.
The square root of 164158800 is about 12812.4470730614. The cubic root of 164158800 is about 547.5469820611.
The spelling of 164158800 in words is "one hundred sixty-four million, one hundred fifty-eight thousand, eight hundred".
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