Base | Representation |
---|---|
bin | 1010000110101110010000… |
… | …00011001100010011001110 |
3 | 2220200022212011201112110020 |
4 | 11003113020003030103032 |
5 | 10403033030324232342 |
6 | 115132142152323010 |
7 | 4452300412252053 |
oct | 503271003142316 |
9 | 86608764645406 |
10 | 22221222102222 |
11 | 7097a70630580 |
12 | 25aa7563a3466 |
13 | c525b57a45c0 |
14 | 56b72751902a |
15 | 2880594a80ec |
hex | 1435c80cc4ce |
22221222102222 has 128 divisors (see below), whose sum is σ = 52743925301760. Its totient is φ = 6152448960000.
The previous prime is 22221222102193. The next prime is 22221222102241. The reversal of 22221222102222 is 22220122212222.
It is a junction number, because it is equal to n+sod(n) for n = 22221222102192 and 22221222102201.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 323979972 + ... + 324048552.
It is an arithmetic number, because the mean of its divisors is an integer number (412061916420).
Almost surely, 222221222102222 is an apocalyptic number.
22221222102222 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 22221222102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26371962650880).
22221222102222 is an abundant number, since it is smaller than the sum of its proper divisors (30522703199538).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22221222102222 is a wasteful number, since it uses less digits than its factorization.
22221222102222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 72450.
The product of its (nonzero) digits is 2048, while the sum is 24.
Adding to 22221222102222 its reverse (22220122212222), we get a palindrome (44441344314444).
The spelling of 22221222102222 in words is "twenty-two trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred two thousand, two hundred twenty-two".
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