Search a number
-
+
230100303323200 = 2652162829883213
BaseRepresentation
bin110100010100011001100110…
…110101111010000001000000
31010011201101002202201120111211
4310110121212311322001000
5220124430410122320300
62133214341533015504
766316125010132522
oct6424314665720100
91104641082646454
10230100303323200
1167353a99583732
1221982b92024594
139b5149a00013b
1440b6cb242ba12
151b90684a1b4ba
hexd14666d7a040

230100303323200 has 84 divisors (see below), whose sum is σ = 566194677135940. Its totient is φ = 92039451863040.

The previous prime is 230100303323197. The next prime is 230100303323227. The reversal of 230100303323200 is 2323303001032.

It can be written as a sum of positive squares in 6 ways, for example, as 771506176 + 230099531817024 = 27776^2 + 15169032^2 .

It is a super-2 number, since 2×2301003033232002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260084794 + ... + 260968006.

Almost surely, 2230100303323200 is an apocalyptic number.

230100303323200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230100303323200 is an abundant number, since it is smaller than the sum of its proper divisors (336094373812740).

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

230100303323200 is a wasteful number, since it uses less digits than its factorization.

230100303323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046064 (or 1046049 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 230100303323200 its reverse (2323303001032), we get a palindrome (232423606324232).

The spelling of 230100303323200 in words is "two hundred thirty trillion, one hundred billion, three hundred three million, three hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 162829 325658 651316 814145 883213 1302632 1628290 1766426 2605264 3256580 3532852 4070725 4416065 5210528 6513160 7065704 8141450 8832130 10421056 13026320 14131408 16282900 17664260 22080325 26052640 28262816 32565800 35328520 44160650 52105280 56525632 65131600 70657040 88321300 130263200 141314080 176642600 260526400 282628160 353285200 706570400 1413140800 143812689577 287625379154 575250758308 719063447885 1150501516616 1438126895770 2301003033232 2876253791540 3595317239425 4602006066464 5752507583080 7190634478850 9204012132928 11505015166160 14381268957700 23010030332320 28762537915400 46020060664640 57525075830800 115050151661600 230100303323200