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6022224 = 2432133217
BaseRepresentation
bin10110111110010001010000
3102022221221100
4112332101100
53020202344
6333024400
7102121335
oct26762120
912287840
106022224
11344364a
122025100
13132b160
14b2a98c
157de569
hex5be450

6022224 has 60 divisors (see below), whose sum is σ = 18155956. Its totient is φ = 1852416.

The previous prime is 6022223. The next prime is 6022229. The reversal of 6022224 is 4222206.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3240000 + 2782224 = 1800^2 + 1668^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 6022197 and 6022206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6022223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264 + ... + 3480.

Almost surely, 26022224 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 6022224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9077978).

6022224 is an abundant number, since it is smaller than the sum of its proper divisors (12133732).

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

6022224 is a wasteful number, since it uses less digits than its factorization.

6022224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3235 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 6022224 is about 2454.0220047913. The cubic root of 6022224 is about 181.9361366722.

Subtracting from 6022224 its sum of digits (18), we obtain a palindrome (6022206).

The spelling of 6022224 in words is "six million, twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 3217 6434 9651 12868 19302 25736 28953 38604 41821 51472 57906 77208 83642 115812 125463 154416 167284 231624 250926 334568 376389 463248 501852 669136 752778 1003704 1505556 2007408 3011112 6022224