Search a number
-
+
4332224 = 261341127
BaseRepresentation
bin10000100001101011000000
322011002200202
4100201223000
52102112344
6232504332
751552251
oct20415300
98132622
104332224
112499956
12154b0a8
13b88b60
1480ab28
155a894e
hex421ac0

4332224 has 56 divisors (see below), whose sum is σ = 9558528. Its totient is φ = 1935360.

The previous prime is 4332217. The next prime is 4332239. The reversal of 4332224 is 4222334.

It is a d-powerful number, because it can be written as 4 + 33 + 38 + 217 + 221 + 221 + 44 .

It is a junction number, because it is equal to n+sod(n) for n = 4332196 and 4332205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34049 + ... + 34175.

It is an arithmetic number, because the mean of its divisors is an integer number (170688).

Almost surely, 24332224 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 4332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779264).

4332224 is an abundant number, since it is smaller than the sum of its proper divisors (5226304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4332224 is a wasteful number, since it uses less digits than its factorization.

4332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its digits is 1152, while the sum is 20.

The square root of 4332224 is about 2081.3995291630. The cubic root of 4332224 is about 163.0185282613.

Adding to 4332224 its reverse (4222334), we get a palindrome (8554558).

The spelling of 4332224 in words is "four million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 127 164 208 254 328 416 508 533 656 832 1016 1066 1312 1651 2032 2132 2624 3302 4064 4264 5207 6604 8128 8528 10414 13208 17056 20828 26416 34112 41656 52832 67691 83312 105664 135382 166624 270764 333248 541528 1083056 2166112 4332224