Base | Representation |
---|---|
bin | 1001000110101110… |
… | …0101100011010000 |
3 | 20022100001021111220 |
4 | 2101223211203100 |
5 | 20001143403240 |
6 | 1042310005040 |
7 | 114365461023 |
oct | 22153454320 |
9 | 6270037456 |
10 | 2444122320 |
11 | 1044709302 |
12 | 582646780 |
13 | 2cc496933 |
14 | 1928671ba |
15 | e488e5d0 |
hex | 91ae58d0 |
2444122320 has 160 divisors (see below), whose sum is σ = 8050734720. Its totient is φ = 612218880.
The previous prime is 2444122297. The next prime is 2444122327. The reversal of 2444122320 is 232214442.
It is a super-3 number, since 3×24441223203 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2444122327) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252775 + ... + 262265.
It is an arithmetic number, because the mean of its divisors is an integer number (50317092).
Almost surely, 22444122320 is an apocalyptic number.
2444122320 is a gapful number since it is divisible by the number (20) 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 2444122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025367360).
2444122320 is an abundant number, since it is smaller than the sum of its proper divisors (5606612400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2444122320 is a wasteful number, since it uses less digits than its factorization.
2444122320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9573 (or 9567 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 24.
The square root of 2444122320 is about 49438.0654961336. The cubic root of 2444122320 is about 1347.0208323567.
Adding to 2444122320 its reverse (232214442), we get a palindrome (2676336762).
It can be divided in two parts, 2444122 and 320, that added together give a palindrome (2444442).
The spelling of 2444122320 in words is "two billion, four hundred forty-four million, one hundred twenty-two thousand, three hundred twenty".
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