Base | Representation |
---|---|
bin | 10000000111000100000000 |
3 | 21221120012000 |
4 | 100013010000 |
5 | 2040120412 |
6 | 230304000 |
7 | 50616426 |
oct | 20070400 |
9 | 7846160 |
10 | 4223232 |
11 | 2424a82 |
12 | 14b8000 |
13 | b4b370 |
14 | 7bd116 |
15 | 5864dc |
hex | 407100 |
4223232 has 144 divisors (see below), whose sum is σ = 13735680. Its totient is φ = 1271808.
The previous prime is 4223231. The next prime is 4223239. The reversal of 4223232 is 2323224.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a d-powerful number, because it can be written as 4 + 212 + 213 + 32 + 214 + 35 + 222 .
It is not an unprimeable number, because it can be changed into a prime (4223231) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89833 + ... + 89879.
Almost surely, 24223232 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6867840).
4223232 is an abundant number, since it is smaller than the sum of its proper divisors (9512448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4223232 is a wasteful number, since it uses less digits than its factorization.
4223232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 85 (or 65 counting only the distinct ones).
The product of its digits is 576, while the sum is 18.
The square root of 4223232 is about 2055.0503643463. The cubic root of 4223232 is about 161.6398032856.
Adding to 4223232 its reverse (2323224), we get a palindrome (6546456).
The spelling of 4223232 in words is "four million, two hundred twenty-three thousand, two hundred thirty-two".
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