Base | Representation |
---|---|
bin | 10011100100001… |
… | …11001001011110 |
3 | 102102211201222120 |
4 | 21302013021132 |
5 | 314004201142 |
6 | 24141523410 |
7 | 4032044160 |
oct | 1162071136 |
9 | 372751876 |
10 | 164131422 |
11 | 84714404 |
12 | 46b73566 |
13 | 280090b0 |
14 | 17b26930 |
15 | e6217ec |
hex | 9c8725e |
164131422 has 64 divisors (see below), whose sum is σ = 417091584. Its totient is φ = 41886720.
The previous prime is 164131403. The next prime is 164131423. The reversal of 164131422 is 224131461.
164131422 is digitally balanced in base 2, 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 = 164131392 and 164131401.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (164131423) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12078 + ... + 21774.
It is an arithmetic number, because the mean of its divisors is an integer number (6517056).
Almost surely, 2164131422 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 164131422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208545792).
164131422 is an abundant number, since it is smaller than the sum of its proper divisors (252960162).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164131422 is a wasteful number, since it uses less digits than its factorization.
164131422 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9753.
The product of its digits is 1152, while the sum is 24.
The square root of 164131422 is about 12811.3786143412. The cubic root of 164131422 is about 547.5165408568.
Adding to 164131422 its reverse (224131461), we get a palindrome (388262883).
The spelling of 164131422 in words is "one hundred sixty-four million, one hundred thirty-one thousand, four hundred twenty-two".
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