Base | Representation |
---|---|
bin | 1010001011111011101010… |
… | …10010011000001001100110 |
3 | 2221022102212222222200021220 |
4 | 11011331311102120021212 |
5 | 10414001123340403142 |
6 | 115350304153521210 |
7 | 4501235250060423 |
oct | 505756522301146 |
9 | 87272788880256 |
10 | 22400222200422 |
11 | 7156976506730 |
12 | 2619391113206 |
13 | c66441214581 |
14 | 5762685d0d4a |
15 | 28ca33eee2ec |
hex | 145f75498266 |
22400222200422 has 128 divisors (see below), whose sum is σ = 50259282071040. Its totient is φ = 6598191360000.
The previous prime is 22400222200397. The next prime is 22400222200457.
22400222200422 is nontrivially palindromic in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 22400222200392 and 22400222200401.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 303979422 + ... + 304053102.
It is an arithmetic number, because the mean of its divisors is an integer number (392650641180).
Almost surely, 222400222200422 is an apocalyptic number.
22400222200422 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 22400222200422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25129641035520).
22400222200422 is an abundant number, since it is smaller than the sum of its proper divisors (27859059870618).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22400222200422 is a wasteful number, since it uses less digits than its factorization.
22400222200422 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 74630.
The product of its (nonzero) digits is 4096, while the sum is 24.
It can be divided in two parts, 2240022 and 2200422, that added together give a palindrome (4440444).
The spelling of 22400222200422 in words is "twenty-two trillion, four hundred billion, two hundred twenty-two million, two hundred thousand, four hundred twenty-two".
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