| Base | Representation |
|---|---|
| bin | 111110111100100… |
| … | …1001100001010000 |
| 3 | 12110012100111001120 |
| 4 | 1331321021201100 |
| 5 | 13311201230300 |
| 6 | 545330202240 |
| 7 | 103224556512 |
| oct | 17571114120 |
| 9 | 5405314046 |
| 10 | 2112133200 |
| 11 | 994275a31 |
| 12 | 4ab423380 |
| 13 | 278778678 |
| 14 | 160727bb2 |
| 15 | c56623a0 |
| hex | 7de49850 |
2112133200 has 120 divisors (see below), whose sum is σ = 6776203200. Its totient is φ = 562375680.
The previous prime is 2112133189. The next prime is 2112133213. The reversal of 2112133200 is 23312112.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×21121332002 = 8922213309084480000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 2112133200.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1354021 + ... + 1355579.
It is an arithmetic number, because the mean of its divisors is an integer number (56468360).
Almost surely, 22112133200 is an apocalyptic number.
2112133200 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 2112133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388101600).
2112133200 is an abundant number, since it is smaller than the sum of its proper divisors (4664070000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2112133200 is a wasteful number, since it uses less digits than its factorization.
2112133200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2709 (or 2698 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
The square root of 2112133200 is about 45957.9503459412. The cubic root of 2112133200 is about 1283.0407038791.
Adding to 2112133200 its reverse (23312112), we get a palindrome (2135445312).
The spelling of 2112133200 in words is "two billion, one hundred twelve million, one hundred thirty-three thousand, two hundred".
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