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204440224 = 2547181751
BaseRepresentation
bin11000010111110…
…00001010100000
3112020200122021011
430023320022200
5404314041344
632141510304
75031466432
oct1413701240
9466618234
10204440224
11a5445a6a
1258572394
1333480361
141d21a652
1512e34d34
hexc2f82a0

204440224 has 48 divisors (see below), whose sum is σ = 413876736. Its totient is φ = 99360000.

The previous prime is 204440213. The next prime is 204440237. The reversal of 204440224 is 422044402.

204440224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 204440195 and 204440204.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 271849 + ... + 272599.

It is an arithmetic number, because the mean of its divisors is an integer number (8622432).

Almost surely, 2204440224 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 204440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206938368).

204440224 is an abundant number, since it is smaller than the sum of its proper divisors (209436512).

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

204440224 is a wasteful number, since it uses less digits than its factorization.

204440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 204440224 is about 14298.2594744955. The cubic root of 204440224 is about 589.0996744157.

Adding to 204440224 its reverse (422044402), we get a palindrome (626484626).

The spelling of 204440224 in words is "two hundred four million, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 47 94 181 188 362 376 724 751 752 1448 1502 1504 2896 3004 5792 6008 8507 12016 17014 24032 34028 35297 68056 70594 135931 136112 141188 271862 272224 282376 543724 564752 1087448 1129504 2174896 4349792 6388757 12777514 25555028 51110056 102220112 204440224