Base | Representation |
---|---|
bin | 11001001001111… |
… | …110001000000000 |
3 | 1002102011001202012 |
4 | 121021332020000 |
5 | 1331020403120 |
6 | 105513512052 |
7 | 13313213306 |
oct | 3111761000 |
9 | 1072131665 |
10 | 422044160 |
11 | 1a726202a |
12 | b9412628 |
13 | 6958c295 |
14 | 400a2276 |
15 | 270ba1c5 |
hex | 1927e200 |
422044160 has 80 divisors (see below), whose sum is σ = 1036855512. Its totient is φ = 164659200.
The previous prime is 422044157. The next prime is 422044211. The reversal of 422044160 is 61440224.
It can be written as a sum of positive squares in 4 ways, for example, as 117332224 + 304711936 = 10832^2 + 17456^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102950 + ... + 106970.
Almost surely, 2422044160 is an apocalyptic number.
422044160 is a gapful number since it is divisible by the number (40) 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 422044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518427756).
422044160 is an abundant number, since it is smaller than the sum of its proper divisors (614811352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
422044160 is an equidigital number, since it uses as much as digits as its factorization.
422044160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4085 (or 4069 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 23.
The square root of 422044160 is about 20543.7133936394. The cubic root of 422044160 is about 750.1002295677.
Adding to 422044160 its reverse (61440224), we get a palindrome (483484384).
It can be divided in two parts, 42204 and 4160, that added together give a palindrome (46364).
The spelling of 422044160 in words is "four hundred twenty-two million, forty-four thousand, one hundred sixty".
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