Base | Representation |
---|---|
bin | 1000010001110100… |
… | …0100010000011010 |
3 | 12201212111001221200 |
4 | 2010131010100122 |
5 | 14022341241442 |
6 | 1004301415030 |
7 | 106032330354 |
oct | 20435042032 |
9 | 5655431850 |
10 | 2222212122 |
11 | a40420949 |
12 | 52026a476 |
13 | 29550a920 |
14 | 1711c00d4 |
15 | d015834c |
hex | 8474441a |
2222212122 has 96 divisors (see below), whose sum is σ = 5401783296. Its totient is φ = 655603200.
The previous prime is 2222212117. The next prime is 2222212129. The reversal of 2222212122 is 2212122222.
It is a super-3 number, since 3×22222121223 (a number of 29 digits) contains 333 as substring.
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 = 2222212095 and 2222212104.
It is not an unprimeable number, because it can be changed into a prime (2222212129) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 818347 + ... + 821057.
It is an arithmetic number, because the mean of its divisors is an integer number (56268576).
Almost surely, 22222212122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2222212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700891648).
2222212122 is an abundant number, since it is smaller than the sum of its proper divisors (3179571174).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2222212122 is a wasteful number, since it uses less digits than its factorization.
2222212122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2876 (or 2873 counting only the distinct ones).
The product of its digits is 256, while the sum is 18.
The square root of 2222212122 is about 47140.3449499471. The cubic root of 2222212122 is about 1304.9539033350.
Adding to 2222212122 its reverse (2212122222), we get a palindrome (4434334344).
The spelling of 2222212122 in words is "two billion, two hundred twenty-two million, two hundred twelve thousand, one hundred twenty-two".
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