Base | Representation |
---|---|
bin | 111111001111011… |
… | …1010010001011100 |
3 | 12110212222101221221 |
4 | 1332132322101130 |
5 | 13321220012340 |
6 | 550322303124 |
7 | 103404655600 |
oct | 17636722134 |
9 | 5425871857 |
10 | 2122032220 |
11 | 999917240 |
12 | 4b27b7aa4 |
13 | 27a833289 |
14 | 161b83500 |
15 | c646a44a |
hex | 7e7ba45c |
2122032220 has 144 divisors (see below), whose sum is σ = 5713999200. Its totient is φ = 654528000.
The previous prime is 2122032217. The next prime is 2122032257. The reversal of 2122032220 is 222302212.
It is a junction number, because it is equal to n+sod(n) for n = 2122032194 and 2122032203.
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 47 ways as a sum of consecutive naturals, for example, 1087806 + ... + 1089754.
It is an arithmetic number, because the mean of its divisors is an integer number (39680550).
Almost surely, 22122032220 is an apocalyptic number.
2122032220 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 2122032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856999600).
2122032220 is an abundant number, since it is smaller than the sum of its proper divisors (3591966980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122032220 is a wasteful number, since it uses less digits than its factorization.
2122032220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2084 (or 2075 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 2122032220 is about 46065.5209457138. The cubic root of 2122032220 is about 1285.0420068328.
Adding to 2122032220 its reverse (222302212), we get a palindrome (2344334432).
The spelling of 2122032220 in words is "two billion, one hundred twenty-two million, thirty-two thousand, two hundred twenty".
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