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230003140420 = 225231077576173
BaseRepresentation
bin1101011000110101000…
…0010110011101000100
3210222200022111010201101
43112031100112131010
512232021300443140
6253354553305444
722421456302414
oct3261520263504
9728608433641
10230003140420
11895a885a719
12386ab705284
13188c62437c1
14b1bcb06644
155eb24bd99a
hex358d416744

230003140420 has 96 divisors (see below), whose sum is σ = 509471762688. Its totient is φ = 87049492992.

The previous prime is 230003140399. The next prime is 230003140427. The reversal of 230003140420 is 24041300032.

230003140420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230003140427) by changing a digit.

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, 37256454 + ... + 37262626.

It is an arithmetic number, because the mean of its divisors is an integer number (5306997528).

Almost surely, 2230003140420 is an apocalyptic number.

230003140420 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 230003140420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254735881344).

230003140420 is an abundant number, since it is smaller than the sum of its proper divisors (279468622268).

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

230003140420 is a wasteful number, since it uses less digits than its factorization.

230003140420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7069 (or 7067 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 230003140420 its reverse (24041300032), we get a palindrome (254044440452).

The spelling of 230003140420 in words is "two hundred thirty billion, three million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 107 115 214 230 428 460 535 757 1070 1514 2140 2461 3028 3785 4922 6173 7570 9844 12305 12346 15140 17411 24610 24692 30865 34822 49220 61730 69644 80999 87055 123460 141979 161998 174110 283958 323996 348220 404995 567916 660511 709895 809990 1321022 1419790 1619980 1862977 2642044 2839580 3302555 3725954 4672961 6605110 7451908 9314885 9345922 13210220 15191753 18629770 18691844 23364805 30383506 37259540 46729610 60767012 75958765 93459220 107478103 151917530 214956206 303835060 429912412 500006827 537390515 1000013654 1074781030 2000027308 2149562060 2500034135 5000068270 10000136540 11500157021 23000314042 46000628084 57500785105 115001570210 230003140420