Base | Representation |
---|---|
bin | 1000010001100101… |
… | …0010010101100110 |
3 | 12201210121201200200 |
4 | 2010121102111212 |
5 | 14022113034342 |
6 | 1004224251330 |
7 | 106021032423 |
oct | 20431222546 |
9 | 5653551620 |
10 | 2221221222 |
11 | a3a904420 |
12 | 51ba70b46 |
13 | 2952518ac |
14 | 171002d4a |
15 | d000e94c |
hex | 84652566 |
2221221222 has 96 divisors (see below), whose sum is σ = 5507633664. Its totient is φ = 640872000.
The previous prime is 2221221221. The next prime is 2221221229.
2221221222 is a `hidden beast` number, since 2 + 221 + 221 + 222 = 666.
2221221222 is nontrivially palindromic in base 10.
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 = 2221221195 and 2221221204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2221221221) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341097 + ... + 347547.
It is an arithmetic number, because the mean of its divisors is an integer number (57371184).
Almost surely, 22221221222 is an apocalyptic number.
2221221222 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 2221221222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753816832).
2221221222 is an abundant number, since it is smaller than the sum of its proper divisors (3286412442).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2221221222 is a wasteful number, since it uses less digits than its factorization.
2221221222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6554 (or 6551 counting only the distinct ones).
The product of its digits is 256, while the sum is 18.
The square root of 2221221222 is about 47129.8336725264. The cubic root of 2221221222 is about 1304.7599117930.
It can be divided in two parts, 22212 and 21222, that added together give a palindrome (43434).
The spelling of 2221221222 in words is "two billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty-two".
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