Base | Representation |
---|---|
bin | 1100111011110011110… |
… | …0100000111011011110 |
3 | 210020120102112212022220 |
4 | 3032330330200323132 |
5 | 12120043101442342 |
6 | 250030002250210 |
7 | 22024436663136 |
oct | 3167474407336 |
9 | 706512485286 |
10 | 222213312222 |
11 | 86270692480 |
12 | 37096956966 |
13 | 17c544097c5 |
14 | aa8030bac6 |
15 | 5ba868b5ec |
hex | 33bcf20ede |
222213312222 has 64 divisors (see below), whose sum is σ = 500853639168. Its totient is φ = 65115072000.
The previous prime is 222213312199. The next prime is 222213312229.
222213312222 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×2222133122222 (a number of 23 digits) contains 22 as substring.
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 = 222213312192 and 222213312201.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (222213312229) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2661658 + ... + 2743874.
It is an arithmetic number, because the mean of its divisors is an integer number (7825838112).
Almost surely, 2222213312222 is an apocalyptic number.
222213312222 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 222213312222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250426819584).
222213312222 is an abundant number, since it is smaller than the sum of its proper divisors (278640326946).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222213312222 is a wasteful number, since it uses less digits than its factorization.
222213312222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 83585.
The product of its digits is 2304, while the sum is 24.
It can be divided in two parts, 222213 and 312222, that added together give a palindrome (534435).
The spelling of 222213312222 in words is "two hundred twenty-two billion, two hundred thirteen million, three hundred twelve thousand, two hundred twenty-two".
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