Base | Representation |
---|---|
bin | 1010001100101000101111… |
… | …10010101101001000010000 |
3 | 2221101202100121212000221202 |
4 | 11012110113302231020100 |
5 | 10414400204343423212 |
6 | 115405345442010332 |
7 | 4503053055046235 |
oct | 506242762551020 |
9 | 87352317760852 |
10 | 22424423420432 |
11 | 7166165465500 |
12 | 26220060469a8 |
13 | c687ca1042b7 |
14 | 5774c284978c |
15 | 28d49d9db0c2 |
hex | 146517cad210 |
22424423420432 has 120 divisors (see below), whose sum is σ = 47888537109336. Its totient is φ = 10164689920000.
The previous prime is 22424423420359. The next prime is 22424423420549. The reversal of 22424423420432 is 23402432442422.
It can be written as a sum of positive squares in 4 ways, for example, as 1130035456 + 22423293384976 = 33616^2 + 4735324^2 .
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 23 ways as a sum of consecutive naturals, for example, 1696628288 + ... + 1696641504.
Almost surely, 222424423420432 is an apocalyptic number.
22424423420432 is a gapful number since it is divisible by the number (22) 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 22424423420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23944268554668).
22424423420432 is an abundant number, since it is smaller than the sum of its proper divisors (25464113688904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22424423420432 is a wasteful number, since it uses less digits than its factorization.
22424423420432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15609 (or 15592 counting only the distinct ones).
The product of its (nonzero) digits is 589824, while the sum is 38.
Adding to 22424423420432 its reverse (23402432442422), we get a palindrome (45826855862854).
The spelling of 22424423420432 in words is "twenty-two trillion, four hundred twenty-four billion, four hundred twenty-three million, four hundred twenty thousand, four hundred thirty-two".
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