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220212032100000 = 25355734040107
BaseRepresentation
bin110010000100100000011011…
…111100101101011010100000
31001212201001202010220020222220
4302010200123330231122200
5212330423220204200000
62100204002211231040
764245536304423243
oct6204403374553240
91055631663806886
10220212032100000
1164191442228386
1220846697ba8480
1395b4ba0585385
143c54467d3925a
151a6d34885b1a0
hexc8481bf2d6a0

220212032100000 has 144 divisors (see below), whose sum is σ = 722524486785696. Its totient is φ = 58723208480000.

The previous prime is 220212032099959. The next prime is 220212032100001. The reversal of 220212032100000 is 1230212022.

It is a happy number.

It is a super-2 number, since 2×2202120321000002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (220212032100001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366720054 + ... + 367320053.

It is an arithmetic number, because the mean of its divisors is an integer number (5017531158234).

Almost surely, 2220212032100000 is an apocalyptic number.

220212032100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212032100000 is an abundant number, since it is smaller than the sum of its proper divisors (502312454685696).

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

220212032100000 is an frugal number, since it uses more digits than its factorization.

220212032100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734040145 (or 734040117 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 220212032100000 its reverse (1230212022), we get a palindrome (220213262312022).

The spelling of 220212032100000 in words is "two hundred twenty trillion, two hundred twelve billion, thirty-two million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 734040107 1468080214 2202120321 2936160428 3670200535 4404240642 5872320856 7340401070 8808481284 11010601605 11744641712 14680802140 17616962568 18351002675 22021203210 23489283424 29361604280 35233925136 36702005350 44042406420 55053008025 58723208560 70467850272 73404010700 88084812840 91755013375 110106016050 117446417120 146808021400 176169625680 183510026750 220212032100 275265040125 293616042800 352339251360 367020053500 440424064200 458775066875 550530080250 587232085600 734040107000 880848128400 917550133750 1101060160500 1376325200625 1468080214000 1761696256800 1835100267500 2202120321000 2293875334375 2752650401250 2936160428000 3670200535000 4404240642000 4587750668750 5505300802500 6881626003125 7340401070000 8808481284000 9175501337500 11010601605000 13763252006250 14680802140000 18351002675000 22021203210000 27526504012500 36702005350000 44042406420000 55053008025000 73404010700000 110106016050000 220212032100000