| Base | Representation |
|---|---|
| bin | 111111001111110… |
| … | …0101111111111010 |
| 3 | 12110220022111122100 |
| 4 | 1332133211333322 |
| 5 | 13321241230242 |
| 6 | 550330204230 |
| 7 | 103406333010 |
| oct | 17637457772 |
| 9 | 5426274570 |
| 10 | 2122211322 |
| 11 | 999a29860 |
| 12 | 4b2883676 |
| 13 | 27a89695a |
| 14 | 161bcc8b0 |
| 15 | c64a354c |
| hex | 7e7e5ffa |
2122211322 has 96 divisors (see below), whose sum is σ = 5747923584. Its totient is φ = 549763200.
The previous prime is 2122211317. The next prime is 2122211323. The reversal of 2122211322 is 2231122212.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 2122211295 and 2122211304.
It is not an unprimeable number, because it can be changed into a prime (2122211323) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581688 + ... + 585324.
It is an arithmetic number, because the mean of its divisors is an integer number (59874204).
Almost surely, 22122211322 is an apocalyptic number.
2122211322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 2122211322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873961792).
2122211322 is an abundant number, since it is smaller than the sum of its proper divisors (3625712262).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122211322 is a wasteful number, since it uses less digits than its factorization.
2122211322 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4084 (or 4081 counting only the distinct ones).
The product of its digits is 192, while the sum is 18.
The square root of 2122211322 is about 46067.4648966057. The cubic root of 2122211322 is about 1285.0781588316.
Adding to 2122211322 its reverse (2231122212), we get a palindrome (4353333534).
It can be divided in two parts, 2122 and 211322, that added together give a square (213444 = 4622).
The spelling of 2122211322 in words is "two billion, one hundred twenty-two million, two hundred eleven thousand, three hundred twenty-two".
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