Base | Representation |
---|---|
bin | 1010000110110100001101… |
… | …10011100001010011101110 |
3 | 2220200122010012201122121100 |
4 | 11003122012303201103232 |
5 | 10403111104121122342 |
6 | 115133431514543530 |
7 | 4452442622556300 |
oct | 503320663412356 |
9 | 86618105648540 |
10 | 22224422442222 |
11 | 7099363096370 |
12 | 25ab2aa137ba6 |
13 | c529a5831b00 |
14 | 56b94c591970 |
15 | 288195421e4c |
hex | 143686ce14ee |
22224422442222 has 648 divisors, whose sum is σ = 68012512370712. Its totient is φ = 5183994816000.
The previous prime is 22224422442217. The next prime is 22224422442253.
22224422442222 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 4 + 4 + 224 + 422 + 2 + 2 = 666.
22224422442222 is nontrivially palindromic in base 10.
It is a zygodrome in base 10.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 2244659472 + ... + 2244669372.
It is an arithmetic number, because the mean of its divisors is an integer number (104957580819).
Almost surely, 222224422442222 is an apocalyptic number.
22224422442222 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 22224422442222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34006256185356).
22224422442222 is an abundant number, since it is smaller than the sum of its proper divisors (45788089928490).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22224422442222 is a wasteful number, since it uses less digits than its factorization.
22224422442222 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10034 (or 9974 counting only the distinct ones).
The product of its digits is 262144, while the sum is 36.
It can be divided in two parts, 2222442 and 2442222, that added together give a palindrome (4664664).
The spelling of 22224422442222 in words is "twenty-two trillion, two hundred twenty-four billion, four hundred twenty-two million, four hundred forty-two thousand, two hundred twenty-two".
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