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5222304 = 253218133
BaseRepresentation
bin10011111010111110100000
3100211022122200
4103322332200
52314103204
6303533200
762250243
oct23727640
910738580
105222304
112a4765a
1218ba200
13110b029
1499d25a
156d2539
hex4fafa0

5222304 has 36 divisors (see below), whose sum is σ = 14851746. Its totient is φ = 1740672.

The previous prime is 5222297. The next prime is 5222309. The reversal of 5222304 is 4032225.

5222304 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4613904 + 608400 = 2148^2 + 780^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (5222309) 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 5 ways as a sum of consecutive naturals, for example, 8779 + ... + 9354.

Almost surely, 25222304 is an apocalyptic number.

It is an amenable number.

5222304 is an abundant number, since it is smaller than the sum of its proper divisors (9629442).

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

5222304 is a wasteful number, since it uses less digits than its factorization.

5222304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18149 (or 18138 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 5222304 is about 2285.2360928359. The cubic root of 5222304 is about 173.4951677239.

Adding to 5222304 its reverse (4032225), we get a palindrome (9254529).

The spelling of 5222304 in words is "five million, two hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 18133 36266 54399 72532 108798 145064 163197 217596 290128 326394 435192 580256 652788 870384 1305576 1740768 2611152 5222304