Base | Representation |
---|---|
bin | 1000101000101… |
… | …1000111011110 |
3 | 2112011020102120 |
4 | 2022023013132 |
5 | 33233041111 |
6 | 3332203410 |
7 | 616606524 |
oct | 212130736 |
9 | 75136376 |
10 | 36221406 |
11 | 1949a751 |
12 | 10169566 |
13 | 76729b0 |
14 | 4b4c314 |
15 | 32a7406 |
hex | 228b1de |
36221406 has 64 divisors (see below), whose sum is σ = 82252800. Its totient is φ = 10555776.
The previous prime is 36221401. The next prime is 36221413. The reversal of 36221406 is 60412263.
36221406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Curzon number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36221401) 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, 151435 + ... + 151673.
It is an arithmetic number, because the mean of its divisors is an integer number (1285200).
Almost surely, 236221406 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 36221406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41126400).
36221406 is an abundant number, since it is smaller than the sum of its proper divisors (46031394).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36221406 is a wasteful number, since it uses less digits than its factorization.
36221406 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 353.
The product of its (nonzero) digits is 1728, while the sum is 24.
The square root of 36221406 is about 6018.4222184888. The cubic root of 36221406 is about 330.8682553315.
Adding to 36221406 its reverse (60412263), we get a palindrome (96633669).
The spelling of 36221406 in words is "thirty-six million, two hundred twenty-one thousand, four hundred six".
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