Base | Representation |
---|---|
bin | 10100011111100100… |
… | …010010001110111000 |
3 | 2002210112020110210211 |
4 | 110133210102032320 |
5 | 330031114121130 |
6 | 14035251320504 |
7 | 1406201446150 |
oct | 243744221670 |
9 | 62715213724 |
10 | 22004442040 |
11 | 9371a2aa99 |
12 | 43212b0134 |
13 | 20c8a48b09 |
14 | 10ca5b9760 |
15 | 88bc09a2a |
hex | 51f9123b8 |
22004442040 has 128 divisors (see below), whose sum is σ = 57256657920. Its totient is φ = 7455052800.
The previous prime is 22004442011. The next prime is 22004442059. The reversal of 22004442040 is 4024440022.
It is a super-3 number, since 3×220044420403 (a number of 32 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9645700 + ... + 9647980.
It is an arithmetic number, because the mean of its divisors is an integer number (447317640).
Almost surely, 222004442040 is an apocalyptic number.
22004442040 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 22004442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28628328960).
22004442040 is an abundant number, since it is smaller than the sum of its proper divisors (35252215880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22004442040 is a wasteful number, since it uses less digits than its factorization.
22004442040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2693 (or 2689 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 22.
Adding to 22004442040 its reverse (4024440022), we get a palindrome (26028882062).
The spelling of 22004442040 in words is "twenty-two billion, four million, four hundred forty-two thousand, forty".
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