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2230332110000 = 2454812327457
BaseRepresentation
bin100000011101001010001…
…001110011010010110000
321220012212200100101002222
4200131022021303102300
5243020210010010000
64424333405300212
7320064465064451
oct40351211632260
97805780311088
102230332110000
1178a973371195
12300305864668
1313241c9a9917
1479d3d14b128
153d0392cda85
hex2074a2734b0

2230332110000 has 100 divisors (see below), whose sum is σ = 5400718523112. Its totient is φ = 891990528000.

The previous prime is 2230332109987. The next prime is 2230332110009. The reversal of 2230332110000 is 112330322.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (2230332110009) 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 19 ways as a sum of consecutive naturals, for example, 81216272 + ... + 81243728.

Almost surely, 22230332110000 is an apocalyptic number.

2230332110000 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 2230332110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700359261556).

2230332110000 is an abundant number, since it is smaller than the sum of its proper divisors (3170386413112).

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

2230332110000 is an equidigital number, since it uses as much as digits as its factorization.

2230332110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35608 (or 35587 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2230332110000 its reverse (112330322), we get a palindrome (2230444440322).

The spelling of 2230332110000 in words is "two trillion, two hundred thirty billion, three hundred thirty-two million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 8123 10000 16246 27457 32492 40615 54914 64984 81230 109828 129968 137285 162460 203075 219656 274570 324920 406150 439312 549140 649840 686425 812300 1015375 1098280 1372850 1624600 2030750 2196560 2745700 3249200 3432125 4061500 5076875 5491400 6864250 8123000 10153750 10982800 13728500 16246000 17160625 20307500 27457000 34321250 40615000 54914000 68642500 81230000 137285000 223033211 274570000 446066422 892132844 1115166055 1784265688 2230332110 3568531376 4460664220 5575830275 8921328440 11151660550 17842656880 22303321100 27879151375 44606642200 55758302750 89213284400 111516605500 139395756875 223033211000 278791513750 446066422000 557583027500 1115166055000 2230332110000