Base | Representation |
---|---|
bin | 11010011101110… |
… | …011010100110110 |
3 | 1010221111112222000 |
4 | 122131303110312 |
5 | 1402132120042 |
6 | 112020520130 |
7 | 14001052005 |
oct | 3235632466 |
9 | 1127445860 |
10 | 444020022 |
11 | 2087018a6 |
12 | 104850046 |
13 | 70cb4b54 |
14 | 42d82c3c |
15 | 28eab74c |
hex | 1a773536 |
444020022 has 64 divisors (see below), whose sum is σ = 1007784960. Its totient is φ = 144882432.
The previous prime is 444020011. The next prime is 444020023. The reversal of 444020022 is 220020444.
444020022 is a `hidden beast` number, since 4 + 440 + 200 + 22 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 444019977 and 444020004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (444020023) by changing a digit.
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, 539103 + ... + 539925.
It is an arithmetic number, because the mean of its divisors is an integer number (15746640).
Almost surely, 2444020022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 444020022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503892480).
444020022 is an abundant number, since it is smaller than the sum of its proper divisors (563764938).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
444020022 is a wasteful number, since it uses less digits than its factorization.
With its predecessor (444020021) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1028).
444020022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1034 (or 1028 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The square root of 444020022 is about 21071.7826013843. The cubic root of 444020022 is about 762.8998297934.
Adding to 444020022 its reverse (220020444), we get a palindrome (664040466).
The spelling of 444020022 in words is "four hundred forty-four million, twenty thousand, twenty-two".
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