| Base | Representation |
|---|---|
| bin | 1000000100101001… |
| … | …0010111110000000 |
| 3 | 12121000111222021210 |
| 4 | 2001022102332000 |
| 5 | 13414220210000 |
| 6 | 555005250120 |
| 7 | 104461566432 |
| oct | 20112227600 |
| 9 | 5530458253 |
| 10 | 2166960000 |
| 11 | a12213137 |
| 12 | 505863940 |
| 13 | 286c33a6a |
| 14 | 167b1a652 |
| 15 | ca392350 |
| hex | 81292f80 |
2166960000 has 160 divisors (see below), whose sum is σ = 7193478600. Its totient is φ = 577792000.
The previous prime is 2166959999. The next prime is 2166960023. The reversal of 2166960000 is 696612.
It is a tau number, because it is divible by the number of its divisors (160).
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a self number, because there is not a number n which added to its sum of digits gives 2166960000.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 235486 + ... + 244514.
Almost surely, 22166960000 is an apocalyptic number.
2166960000 is a gapful number since it is divisible by the number (20) 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 2166960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596739300).
2166960000 is an abundant number, since it is smaller than the sum of its proper divisors (5026518600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2166960000 is an frugal number, since it uses more digits than its factorization.
2166960000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9066 (or 9039 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 30.
The square root of 2166960000 is about 46550.6176113701. The cubic root of 2166960000 is about 1294.0477388909.
It can be divided in two parts, 2166 and 960000, that multiplied together give a square (2079360000 = 456002).
The spelling of 2166960000 in words is "two billion, one hundred sixty-six million, nine hundred sixty thousand".
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