| Base | Representation |
|---|---|
| bin | 1000001100100001… |
| … | …0101111010011000 |
| 3 | 12200022200200122222 |
| 4 | 2003020111322120 |
| 5 | 14001200032300 |
| 6 | 1002145403212 |
| 7 | 105342465404 |
| oct | 20310257230 |
| 9 | 5608620588 |
| 10 | 2200002200 |
| 11 | a29931240 |
| 12 | 514939508 |
| 13 | 290a32666 |
| 14 | 16c27c104 |
| 15 | cd21c785 |
| hex | 83215e98 |
2200002200 has 96 divisors (see below), whose sum is σ = 5635822320. Its totient is φ = 792000000.
The previous prime is 2200002197. The next prime is 2200002209. The reversal of 2200002200 is 22000022.
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a zygodrome in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2200002209) 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, 217250 + ... + 227150.
Almost surely, 22200002200 is an apocalyptic number.
2200002200 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 2200002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817911160).
2200002200 is an abundant number, since it is smaller than the sum of its proper divisors (3435820120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2200002200 is a wasteful number, since it uses less digits than its factorization.
2200002200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10029 (or 10020 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 8.
The square root of 2200002200 is about 46904.1810503072. The cubic root of 2200002200 is about 1300.5918803817.
Adding to 2200002200 its reverse (22000022), we get a palindrome (2222002222).
2200002200 divided by its reverse (22000022) gives a square (100 = 102).
It can be divided in two parts, 220000 and 2200, that multiplied together give a square (484000000 = 220002).
The spelling of 2200002200 in words is "two billion, two hundred million, two thousand, two hundred".
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