Base | Representation |
---|---|
bin | 10011100100010… |
… | …10001110010110 |
3 | 102102212101021020 |
4 | 21302022032112 |
5 | 314010102042 |
6 | 24142102010 |
7 | 4032126000 |
oct | 1162121626 |
9 | 372771236 |
10 | 164144022 |
11 | 84722919 |
12 | 46b7a906 |
13 | 28011a53 |
14 | 17b2b370 |
15 | e6253ec |
hex | 9c8a396 |
164144022 has 64 divisors (see below), whose sum is σ = 391219200. Its totient is φ = 45873408.
The previous prime is 164144009. The next prime is 164144023. The reversal of 164144022 is 220441461.
It is a happy number.
164144022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 164143983 and 164144001.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (164144023) by changing a digit.
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, 95878 + ... + 97574.
It is an arithmetic number, because the mean of its divisors is an integer number (6112800).
Almost surely, 2164144022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 164144022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195609600).
164144022 is an abundant number, since it is smaller than the sum of its proper divisors (227075178).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164144022 is a wasteful number, since it uses less digits than its factorization.
164144022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1770 (or 1756 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 24.
The square root of 164144022 is about 12811.8703552604. The cubic root of 164144022 is about 547.5305510360.
Adding to 164144022 its reverse (220441461), we get a palindrome (384585483).
The spelling of 164144022 in words is "one hundred sixty-four million, one hundred forty-four thousand, twenty-two".
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