Base | Representation |
---|---|
bin | 1100010010000101000… |
… | …11001101001010100000 |
3 | 1111100022112022221210122 |
4 | 12021002203031022200 |
5 | 23403300432221344 |
6 | 521512544215412 |
7 | 42330063014462 |
oct | 6110243151240 |
9 | 1440275287718 |
10 | 422023320224 |
11 | 152a851868a0 |
12 | 6995a90a568 |
13 | 30a48266a7c |
14 | 165d7094132 |
15 | aea00d1aee |
hex | 62428cd2a0 |
422023320224 has 96 divisors (see below), whose sum is σ = 962540832960. Its totient is φ = 180123955200.
The previous prime is 422023320223. The next prime is 422023320293.
422023320224 is nontrivially palindromic in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 422023320193 and 422023320202.
It is not an unprimeable number, because it can be changed into a prime (422023320223) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476534 + ... + 1034954.
It is an arithmetic number, because the mean of its divisors is an integer number (10026467010).
Almost surely, 2422023320224 is an apocalyptic number.
422023320224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 422023320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481270416480).
422023320224 is an abundant number, since it is smaller than the sum of its proper divisors (540517512736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
422023320224 is a wasteful number, since it uses less digits than its factorization.
422023320224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 558574 (or 558566 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 26.
It can be divided in two parts, 422023 and 320224, that added together give a palindrome (742247).
The spelling of 422023320224 in words is "four hundred twenty-two billion, twenty-three million, three hundred twenty thousand, two hundred twenty-four".
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