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230536134320 = 24525773915173
BaseRepresentation
bin1101011010110100000…
…1100011111010110000
3211001001110102000220012
43112231001203322300
512234114222244240
6253523513234052
722440620544452
oct3265501437260
9731043360805
10230536134320
1189851701948
123881a102928
131897c7ab4cb
14b22d80a2d2
155ee41a2b65
hex35ad063eb0

230536134320 has 80 divisors (see below), whose sum is σ = 538845734880. Its totient is φ = 91725299712.

The previous prime is 230536134293. The next prime is 230536134349. The reversal of 230536134320 is 23431635032.

230536134320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15186254 + ... + 15201426.

It is an arithmetic number, because the mean of its divisors is an integer number (6735571686).

Almost surely, 2230536134320 is an apocalyptic number.

230536134320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230536134320 is an abundant number, since it is smaller than the sum of its proper divisors (308309600560).

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

230536134320 is a wasteful number, since it uses less digits than its factorization.

230536134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16182 (or 16176 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

Adding to 230536134320 its reverse (23431635032), we get a palindrome (253967769352).

The spelling of 230536134320 in words is "two hundred thirty billion, five hundred thirty-six million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 257 514 739 1028 1285 1478 2056 2570 2956 3695 4112 5140 5912 7390 10280 11824 14780 15173 20560 29560 30346 59120 60692 75865 121384 151730 189923 242768 303460 379846 606920 759692 949615 1213840 1519384 1899230 3038768 3798460 3899461 7596920 7798922 11212847 15193840 15597844 19497305 22425694 31195688 38994610 44851388 56064235 62391376 77989220 89702776 112128470 155978440 179405552 224256940 311956880 448513880 897027760 2881701679 5763403358 11526806716 14408508395 23053613432 28817016790 46107226864 57634033580 115268067160 230536134320