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2232002031000 = 233537106285811
BaseRepresentation
bin100000011110101101101…
…100000010110110011000
321220101012001121011001220
4200132231230002312120
5243032120004443000
64425211221412040
7320154043142010
oct40365554026630
97811161534056
102232002031000
1179064aa5a595
123006b0b6a020
13132627954261
147a05ac42c40
153d0d5be01a0
hex207adb02d98

2232002031000 has 128 divisors (see below), whose sum is σ = 7958681602560. Its totient is φ = 510171888000.

The previous prime is 2232002030987. The next prime is 2232002031013. The reversal of 2232002031000 is 1302002322.

It is an interprime number because it is at equal distance from previous prime (2232002030987) and next prime (2232002031013).

It is a super-3 number, since 3×22320020310003 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 53121906 + ... + 53163905.

It is an arithmetic number, because the mean of its divisors is an integer number (62177200020).

Almost surely, 22232002031000 is an apocalyptic number.

2232002031000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232002031000 is an abundant number, since it is smaller than the sum of its proper divisors (5726679571560).

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

2232002031000 is a wasteful number, since it uses less digits than its factorization.

2232002031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106285842 (or 106285828 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2232002031000 its reverse (1302002322), we get a palindrome (2233304033322).

The spelling of 2232002031000 in words is "two trillion, two hundred thirty-two billion, two million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 106285811 212571622 318857433 425143244 531429055 637714866 744000677 850286488 1062858110 1275429732 1488001354 1594287165 2125716220 2232002031 2550859464 2657145275 2976002708 3188574330 3720003385 4251432440 4464004062 5314290550 5952005416 6377148660 7440006770 7971435825 8928008124 10628581100 11160010155 12754297320 13285726375 14880013540 15942871650 17856016248 18600016925 21257162200 22320020310 26571452750 29760027080 31885743300 37200033850 39857179125 44640040620 53142905500 55800050775 63771486600 74400067700 79714358250 89280081240 93000084625 106285811000 111600101550 148800135400 159428716500 186000169250 223200203100 279000253875 318857433000 372000338500 446400406200 558000507750 744000677000 1116001015500 2232002031000