Base | Representation |
---|---|
bin | 1000010111001011… |
… | …0001101000110000 |
3 | 12210102202120102012 |
4 | 2011302301220300 |
5 | 14044114231430 |
6 | 1010423142052 |
7 | 106424316155 |
oct | 20562615060 |
9 | 5712676365 |
10 | 2244680240 |
11 | a52077540 |
12 | 5278a4928 |
13 | 29a07657a |
14 | 17418c22c |
15 | d20e5695 |
hex | 85cb1a30 |
2244680240 has 160 divisors (see below), whose sum is σ = 5939619840. Its totient is φ = 781516800.
The previous prime is 2244680203. The next prime is 2244680267. The reversal of 2244680240 is 420864422.
It is a junction number, because it is equal to n+sod(n) for n = 2244680197 and 2244680206.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2918576 + ... + 2919344.
It is an arithmetic number, because the mean of its divisors is an integer number (37122624).
Almost surely, 22244680240 is an apocalyptic number.
2244680240 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 2244680240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969809920).
2244680240 is an abundant number, since it is smaller than the sum of its proper divisors (3694939600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2244680240 is a wasteful number, since it uses less digits than its factorization.
2244680240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 931 (or 925 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 32.
The square root of 2244680240 is about 47378.0565240914. The cubic root of 2244680240 is about 1309.3371624870.
The spelling of 2244680240 in words is "two billion, two hundred forty-four million, six hundred eighty thousand, two hundred forty".
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