Base | Representation |
---|---|
bin | 1000010001010111… |
… | …0110110101001010 |
3 | 12201201221001100200 |
4 | 2010111312311022 |
5 | 14021400301442 |
6 | 1004153113030 |
7 | 106010266224 |
oct | 20425666512 |
9 | 5651831320 |
10 | 2220322122 |
11 | a3a34a967 |
12 | 51b6b8776 |
13 | 294cc8595 |
14 | 170c4b414 |
15 | cedd334c |
hex | 84576d4a |
2220322122 has 48 divisors (see below), whose sum is σ = 4946323200. Its totient is φ = 719287776.
The previous prime is 2220322109. The next prime is 2220322123. The reversal of 2220322122 is 2212230222.
2220322122 is a `hidden beast` number, since 2 + 220 + 322 + 122 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2220322095 and 2220322104.
It is not an unprimeable number, because it can be changed into a prime (2220322123) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 930543 + ... + 932925.
It is an arithmetic number, because the mean of its divisors is an integer number (103048400).
Almost surely, 22220322122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2220322122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473161600).
2220322122 is an abundant number, since it is smaller than the sum of its proper divisors (2726001078).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2220322122 is a wasteful number, since it uses less digits than its factorization.
2220322122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3827 (or 3824 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 2220322122 is about 47120.2941629188. The cubic root of 2220322122 is about 1304.5838422893.
Adding to 2220322122 its reverse (2212230222), we get a palindrome (4432552344).
The spelling of 2220322122 in words is "two billion, two hundred twenty million, three hundred twenty-two thousand, one hundred twenty-two".
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