Base | Representation |
---|---|
bin | 1000010111000010… |
… | …1001101000001000 |
3 | 12210101201021020000 |
4 | 2011300221220020 |
5 | 14043443420034 |
6 | 1010403203000 |
7 | 106416506034 |
oct | 20560515010 |
9 | 5711637200 |
10 | 2244123144 |
11 | a51826a2a |
12 | 527676460 |
13 | 299c0cb23 |
14 | 1740851c4 |
15 | d2035599 |
hex | 85c29a08 |
2244123144 has 80 divisors (see below), whose sum is σ = 6388778220. Its totient is φ = 735765120.
The previous prime is 2244123137. The next prime is 2244123187. The reversal of 2244123144 is 4413214422.
It can be written as a sum of positive squares in 2 ways, for example, as 1858472100 + 385651044 = 43110^2 + 19638^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
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 19 ways as a sum of consecutive naturals, for example, 11142 + ... + 67914.
Almost surely, 22244123144 is an apocalyptic number.
2244123144 is a gapful number since it is divisible by the number (24) 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 2244123144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194389110).
2244123144 is an abundant number, since it is smaller than the sum of its proper divisors (4144655076).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2244123144 is a wasteful number, since it uses less digits than its factorization.
2244123144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 56852 (or 56839 counting only the distinct ones).
The product of its digits is 6144, while the sum is 27.
The square root of 2244123144 is about 47372.1768974152. The cubic root of 2244123144 is about 1309.2288342367.
Adding to 2244123144 its reverse (4413214422), we get a palindrome (6657337566).
The spelling of 2244123144 in words is "two billion, two hundred forty-four million, one hundred twenty-three thousand, one hundred forty-four".
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