Base | Representation |
---|---|
bin | 110000000001011100111010… |
… | …1001110001011110011010000 |
3 | 2001101122012012120122212222010 |
4 | 1200002321311032023303100 |
5 | 420331244234023323344 |
6 | 4054221221032342520 |
7 | 154655155101341526 |
oct | 14002716516136320 |
9 | 2041565176585863 |
10 | 422412000214224 |
11 | 112658a17954429 |
12 | 3b462338244a40 |
13 | 15191385912357 |
14 | 7644bc8190316 |
15 | 33c7d8b14e8b9 |
hex | 1802e7538bcd0 |
422412000214224 has 80 divisors (see below), whose sum is σ = 1102307493787200. Its totient is φ = 139375463884800.
The previous prime is 422412000214199. The next prime is 422412000214231.
422412000214224 is nontrivially palindromic in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 422412000214191 and 422412000214200.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8869959 + ... + 30389145.
It is an arithmetic number, because the mean of its divisors is an integer number (13778843672340).
Almost surely, 2422412000214224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 422412000214224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551153746893600).
422412000214224 is an abundant number, since it is smaller than the sum of its proper divisors (679895493572976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
422412000214224 is a wasteful number, since it uses less digits than its factorization.
422412000214224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 21523348 (or 21523342 counting only the distinct ones).
The product of its (nonzero) digits is 16384, while the sum is 30.
It can be divided in two parts, 422412000 and 214224, that added together give a palindrome (422626224).
The spelling of 422412000214224 in words is "four hundred twenty-two trillion, four hundred twelve billion, two hundred fourteen thousand, two hundred twenty-four".
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