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2005441230 = 2351322323059
BaseRepresentation
bin111011110001000…
…1001101011001110
312011202120222012010
41313202021223032
513101343104410
6530555322050
7100460653302
oct16742115316
95152528163
102005441230
1193a023751
1247b750326
1325c630c20
141504b3d02
15bb0d9c20
hex77889ace

2005441230 has 64 divisors (see below), whose sum is σ = 5206763520. Its totient is φ = 491412096.

The previous prime is 2005441169. The next prime is 2005441259. The reversal of 2005441230 is 321445002.

It is a Curzon number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2005441197 and 2005441206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75441 + ... + 98499.

It is an arithmetic number, because the mean of its divisors is an integer number (81355680).

Almost surely, 22005441230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005441230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603381760).

2005441230 is an abundant number, since it is smaller than the sum of its proper divisors (3201322290).

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

2005441230 is a wasteful number, since it uses less digits than its factorization.

2005441230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23305.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2005441230 is about 44782.1530299739. The cubic root of 2005441230 is about 1261.0626019811.

Adding to 2005441230 its reverse (321445002), we get a palindrome (2326886232).

The spelling of 2005441230 in words is "two billion, five million, four hundred forty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 223 390 446 669 1115 1338 2230 2899 3345 5798 6690 8697 14495 17394 23059 28990 43485 46118 69177 86970 115295 138354 230590 299767 345885 599534 691770 899301 1498835 1798602 2997670 4496505 5142157 8993010 10284314 15426471 25710785 30852942 51421570 66848041 77132355 133696082 154264710 200544123 334240205 401088246 668480410 1002720615 2005441230