Base | Representation |
---|---|
bin | 1000010111000001… |
… | …0100000110000000 |
3 | 12210101112210020100 |
4 | 2011300110012000 |
5 | 14043433104234 |
6 | 1010401242400 |
7 | 106415660634 |
oct | 20560240600 |
9 | 5711483210 |
10 | 2244034944 |
11 | a51776738 |
12 | 527633400 |
13 | 299bab938 |
14 | 174060dc4 |
15 | d2019399 |
hex | 85c14180 |
2244034944 has 144 divisors (see below), whose sum is σ = 6675760260. Its totient is φ = 723525120.
The previous prime is 2244034943. The next prime is 2244034963. The reversal of 2244034944 is 4494304422.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2244034899 and 2244034908.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2244034943) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1106059 + ... + 1108085.
Almost surely, 22244034944 is an apocalyptic number.
2244034944 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 2244034944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337880130).
2244034944 is an abundant number, since it is smaller than the sum of its proper divisors (4431725316).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2244034944 is a wasteful number, since it uses less digits than its factorization.
2244034944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2109 (or 2063 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 36.
The square root of 2244034944 is about 47371.2459620813. The cubic root of 2244034944 is about 1309.2116819552.
The spelling of 2244034944 in words is "two billion, two hundred forty-four million, thirty-four thousand, nine hundred forty-four".
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