| Base | Representation |
|---|---|
| bin | 111111001111110… |
| … | …0110011101010000 |
| 3 | 12110220022121012220 |
| 4 | 1332133212131100 |
| 5 | 13321241310300 |
| 6 | 550330221040 |
| 7 | 103406341332 |
| oct | 17637463520 |
| 9 | 5426277186 |
| 10 | 2122213200 |
| 11 | 999a30208 |
| 12 | 4b2884780 |
| 13 | 27a897773 |
| 14 | 161bcd452 |
| 15 | c64a3da0 |
| hex | 7e7e6750 |
2122213200 has 120 divisors (see below), whose sum is σ = 6808585056. Its totient is φ = 565056000.
The previous prime is 2122213193. The next prime is 2122213237. The reversal of 2122213200 is 23122212.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-3 number, since 3×21222132003 (a number of 29 digits) contains 333 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 2122213200.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1308390 + ... + 1310010.
Almost surely, 22122213200 is an apocalyptic number.
2122213200 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 2122213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404292528).
2122213200 is an abundant number, since it is smaller than the sum of its proper divisors (4686371856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122213200 is a wasteful number, since it uses less digits than its factorization.
2122213200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2733 (or 2722 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 2122213200 is about 46067.4852797502. The cubic root of 2122213200 is about 1285.0785378978.
Adding to 2122213200 its reverse (23122212), we get a palindrome (2145335412).
The spelling of 2122213200 in words is "two billion, one hundred twenty-two million, two hundred thirteen thousand, two hundred".
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