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230332132200 = 233521920204573
BaseRepresentation
bin1101011010000011011…
…1010110101101101000
3211000112020112122121010
43112200313112231220
512233210011212300
6253451344543520
722432562551212
oct3264067265550
9730466478533
10230332132200
1189757536055
1238781921ba0
13189494526b1
14b2106a55b2
155ed1307a50
hex35a0dd6b68

230332132200 has 96 divisors (see below), whose sum is σ = 751610152800. Its totient is φ = 58189167360.

The previous prime is 230332132187. The next prime is 230332132243. The reversal of 230332132200 is 2231233032.

It is a super-2 number, since 2×2303321322002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10090887 + ... + 10113686.

It is an arithmetic number, because the mean of its divisors is an integer number (7829272425).

Almost surely, 2230332132200 is an apocalyptic number.

230332132200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230332132200 is an abundant number, since it is smaller than the sum of its proper divisors (521278020600).

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

230332132200 is a wasteful number, since it uses less digits than its factorization.

230332132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20204611 (or 20204602 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 230332132200 its reverse (2231233032), we get a palindrome (232563365232).

The spelling of 230332132200 in words is "two hundred thirty billion, three hundred thirty-two million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 20204573 40409146 60613719 80818292 101022865 121227438 161636584 202045730 242454876 303068595 383886887 404091460 484909752 505114325 606137190 767773774 808182920 1010228650 1151660661 1212274380 1515342975 1535547548 1919434435 2020457300 2303321322 2424548760 3030685950 3071095096 3838868870 4040914600 4606642644 5758303305 6061371900 7677737740 9213285288 9597172175 11516606610 12122743800 15355475480 19194344350 23033213220 28791516525 38388688700 46066426440 57583033050 76777377400 115166066100 230332132200