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31222345000 = 235471181097
BaseRepresentation
bin11101000100111111…
…110010110100101000
32222120221100110111011
4131010333302310220
51002420410020000
622202055113304
72153501360620
oct350477626450
988527313434
1031222345000
1112272221a10
126074372834
132c376b1172
141722913880
15c2b0ca2ba
hex744ff2d28

31222345000 has 160 divisors (see below), whose sum is σ = 91206054720. Its totient is φ = 9731520000.

The previous prime is 31222344991. The next prime is 31222345043. The reversal of 31222345000 is 54322213.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344452 + ... + 425548.

It is an arithmetic number, because the mean of its divisors is an integer number (570037842).

Almost surely, 231222345000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31222345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45603027360).

31222345000 is an abundant number, since it is smaller than the sum of its proper divisors (59983709720).

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

31222345000 is a wasteful number, since it uses less digits than its factorization.

31222345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81141 (or 81122 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 31222345000 its reverse (54322213), we get a palindrome (31276667213).

The spelling of 31222345000 in words is "thirty-one billion, two hundred twenty-two million, three hundred forty-five thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 625 700 770 875 1000 1100 1250 1375 1400 1540 1750 1925 2200 2500 2750 3080 3500 3850 4375 5000 5500 6875 7000 7700 8750 9625 11000 13750 15400 17500 19250 27500 35000 38500 48125 55000 77000 81097 96250 162194 192500 324388 385000 405485 567679 648776 810970 892067 1135358 1621940 1784134 2027425 2270716 2838395 3243880 3568268 4054850 4460335 4541432 5676790 6244469 7136536 8109700 8920670 10137125 11353580 12488938 14191975 16219400 17841340 20274250 22301675 22707160 24977876 28383950 31222345 35682680 40548500 44603350 49955752 50685625 56767900 62444690 70959875 81097000 89206700 101371250 111508375 113535800 124889380 141919750 156111725 178413400 202742500 223016750 249778760 283839500 312223450 354799375 405485000 446033500 557541875 567679000 624446900 709598750 780558625 892067000 1115083750 1248893800 1419197500 1561117250 2230167500 2838395000 3122234500 3902793125 4460335000 6244469000 7805586250 15611172500 31222345000