Base | Representation |
---|---|
bin | 1000001111011011… |
… | …1100110100101000 |
3 | 12201011200102121111 |
4 | 2003312330310220 |
5 | 14012312021300 |
6 | 1003303320104 |
7 | 105551363401 |
oct | 20366746450 |
9 | 5634612544 |
10 | 2212220200 |
11 | a35816863 |
12 | 518a50034 |
13 | 29341c948 |
14 | 16db3c9a8 |
15 | ce3329ba |
hex | 83dbcd28 |
2212220200 has 96 divisors (see below), whose sum is σ = 5478901560. Its totient is φ = 827801600.
The previous prime is 2212220147. The next prime is 2212220237. The reversal of 2212220200 is 20222122.
2212220200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 12 ways, for example, as 728892004 + 1483328196 = 26998^2 + 38514^2 .
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, 586320 + ... + 590080.
Almost surely, 22212220200 is an apocalyptic number.
2212220200 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 2212220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739450780).
2212220200 is an abundant number, since it is smaller than the sum of its proper divisors (3266681360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2212220200 is a wasteful number, since it uses less digits than its factorization.
2212220200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3967 (or 3958 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 13.
The square root of 2212220200 is about 47034.2449710846. The cubic root of 2212220200 is about 1302.9951060271.
Adding to 2212220200 its reverse (20222122), we get a palindrome (2232442322).
The spelling of 2212220200 in words is "two billion, two hundred twelve million, two hundred twenty thousand, two hundred".
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