Base | Representation |
---|---|
bin | 100110111111… |
… | …111100101110 |
3 | 201020101212200 |
4 | 212333330232 |
5 | 10104122111 |
6 | 1003042330 |
7 | 152616564 |
oct | 46777456 |
9 | 21211780 |
10 | 10223406 |
11 | 5852aa6 |
12 | 35103a6 |
13 | 216c46b |
14 | 1501a34 |
15 | d6e256 |
hex | 9bff2e |
10223406 has 48 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 3191184.
The previous prime is 10223401. The next prime is 10223413. The reversal of 10223406 is 60432201.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10223401) 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 23 ways as a sum of consecutive naturals, for example, 57025 + ... + 57203.
It is an arithmetic number, because the mean of its divisors is an integer number (491400).
Almost surely, 210223406 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10223406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).
10223406 is an abundant number, since it is smaller than the sum of its proper divisors (13363794).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10223406 is a wasteful number, since it uses less digits than its factorization.
10223406 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 373 (or 370 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 10223406 is about 3197.4061362298. The cubic root of 10223406 is about 217.0360463101.
Adding to 10223406 its reverse (60432201), we get a palindrome (70655607).
The spelling of 10223406 in words is "ten million, two hundred twenty-three thousand, four hundred six".
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