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220312130233200 = 24352434269614927
BaseRepresentation
bin110010000101111101101010…
…010000110010001101110000
31001220001122010011012021200120
4302011331222100302031300
5212334043220314430300
62100321555001450240
764256011652500335
oct6205755220621560
91056048104167616
10220312130233200
116421a938a9a3a5
1220861b727a0980
1395c14635039a5
143c5924202298c
151a70c564cc3a0
hexc85f6a432370

220312130233200 has 120 divisors (see below), whose sum is σ = 722145590462208. Its totient is φ = 57383624605440.

The previous prime is 220312130233127. The next prime is 220312130233229. The reversal of 220312130233200 is 2332031213022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 2134755864 + ... + 2134859063.

Almost surely, 2220312130233200 is an apocalyptic number.

220312130233200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220312130233200 is an abundant number, since it is smaller than the sum of its proper divisors (501833460229008).

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

220312130233200 is a wasteful number, since it uses less digits than its factorization.

220312130233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269614991 (or 4269614980 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 220312130233200 its reverse (2332031213022), we get a palindrome (222644161446222).

The spelling of 220312130233200 in words is "two hundred twenty trillion, three hundred twelve billion, one hundred thirty million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 129 150 172 200 215 240 258 300 344 400 430 516 600 645 688 860 1032 1075 1200 1290 1720 2064 2150 2580 3225 3440 4300 5160 6450 8600 10320 12900 17200 25800 51600 4269614927 8539229854 12808844781 17078459708 21348074635 25617689562 34156919416 42696149270 51235379124 64044223905 68313838832 85392298540 102470758248 106740373175 128088447810 170784597080 183593441861 204941516496 213480746350 256176895620 320221119525 341569194160 367186883722 426961492700 512353791240 550780325583 640442239050 734373767444 853922985400 917967209305 1024707582480 1101560651166 1280884478100 1468747534888 1707845970800 1835934418610 2203121302332 2561768956200 2753901627915 2937495069776 3671868837220 4406242604664 4589836046525 5123537912400 5507803255830 7343737674440 8812485209328 9179672093050 11015606511660 13769508139575 14687475348880 18359344186100 22031213023320 27539016279150 36718688372200 44062426046640 55078032558300 73437376744400 110156065116600 220312130233200