Search a number
-
+
2441300000 = 255524413
BaseRepresentation
bin1001000110000011…
…0100100000100000
320022010201220000112
42101200310200200
514444433100000
61042125310452
7114332464466
oct22140644040
96263656015
102441300000
111043060907
12581705428
132cba19119
14192330836
15e44d3235
hex91834820

2441300000 has 72 divisors (see below), whose sum is σ = 6007748292. Its totient is φ = 976480000.

The previous prime is 2441299979. The next prime is 2441300009. The reversal of 2441300000 is 31442.

It can be written as a sum of positive squares in 6 ways, for example, as 591267856 + 1850032144 = 24316^2 + 43012^2 .

It is not an unprimeable number, because it can be changed into a prime (2441300009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87794 + ... + 112206.

Almost surely, 22441300000 is an apocalyptic number.

2441300000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2441300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003874146).

2441300000 is an abundant number, since it is smaller than the sum of its proper divisors (3566448292).

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

2441300000 is an frugal number, since it uses more digits than its factorization.

2441300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24448 (or 24420 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2441300000 is about 49409.5132540283. The cubic root of 2441300000 is about 1346.5021474454.

Adding to 2441300000 its reverse (31442), we get a palindrome (2441331442).

The spelling of 2441300000 in words is "two billion, four hundred forty-one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 24413 25000 48826 50000 97652 100000 122065 195304 244130 390608 488260 610325 781216 976520 1220650 1953040 2441300 3051625 3906080 4882600 6103250 9765200 12206500 15258125 19530400 24413000 30516250 48826000 61032500 76290625 97652000 122065000 152581250 244130000 305162500 488260000 610325000 1220650000 2441300000