Search a number
-
+
288202201420 = 22572294083879
BaseRepresentation
bin1000011000110100011…
…00001001100101001100
31000112220022021202121011
410030122030021211030
514210214230421140
6340222005215004
726551630202200
oct4143214114514
91015808252534
10288202201420
111012536a1641
1247a32401464
132123c8423c3
14dd4031ab00
15776ba7ecea
hex431a30994c

288202201420 has 36 divisors (see below), whose sum is σ = 704036808720. Its totient is φ = 98812183008.

The previous prime is 288202201381. The next prime is 288202201429. The reversal of 288202201420 is 24102202882.

It is not an unprimeable number, because it can be changed into a prime (288202201429) 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, 147040960 + ... + 147042919.

It is an arithmetic number, because the mean of its divisors is an integer number (19556578020).

Almost surely, 2288202201420 is an apocalyptic number.

288202201420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288202201420 is an abundant number, since it is smaller than the sum of its proper divisors (415834607300).

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

288202201420 is a wasteful number, since it uses less digits than its factorization.

288202201420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294083902 (or 294083893 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The spelling of 288202201420 in words is "two hundred eighty-eight billion, two hundred two million, two hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 294083879 588167758 1176335516 1470419395 2058587153 2940838790 4117174306 5881677580 8234348612 10292935765 14410110071 20585871530 28820220142 41171743060 57640440284 72050550355 144101100710 288202201420