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212233334200440 = 233571920713154513
BaseRepresentation
bin110000010000011001101100…
…011111101001100001111000
31000211110022022222011200101120
4300100121230133221201320
5210304212332023403230
62031214351525145240
762463231604320060
oct6020315437514170
91024408288150346
10212233334200440
1161695719276533
121b9782aa25b220
13915669605ab97
143a5a21088c3a0
151980a21b19310
hexc1066c7e9878

212233334200440 has 128 divisors (see below), whose sum is σ = 727695086146560. Its totient is φ = 48507947034624.

The previous prime is 212233334200421. The next prime is 212233334200513. The reversal of 212233334200440 is 44002433332212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9556624 + ... + 22711136.

It is an arithmetic number, because the mean of its divisors is an integer number (5685117860520).

Almost surely, 2212233334200440 is an apocalyptic number.

212233334200440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212233334200440 is an abundant number, since it is smaller than the sum of its proper divisors (515461751946120).

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

212233334200440 is a wasteful number, since it uses less digits than its factorization.

212233334200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13173741 (or 13173737 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 212233334200440 its reverse (44002433332212), we get a palindrome (256235767532652).

The spelling of 212233334200440 in words is "two hundred twelve trillion, two hundred thirty-three billion, three hundred thirty-four million, two hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 19207 38414 57621 76828 96035 115242 134449 153656 192070 230484 268898 288105 384140 403347 460968 537796 576210 672245 768280 806694 1075592 1152420 1344490 1613388 2016735 2304840 2688980 3226776 4033470 5377960 8066940 13154513 16133880 26309026 39463539 52618052 65772565 78927078 92081591 105236104 131545130 157854156 184163182 197317695 263090260 276244773 315708312 368326364 394635390 460407955 526180520 552489546 736652728 789270780 920815910 1104979092 1381223865 1578541560 1841631820 2209958184 2762447730 3683263640 5524895460 11049790920 252658731191 505317462382 757976193573 1010634924764 1263293655955 1515952387146 1768611118337 2021269849528 2526587311910 3031904774292 3537222236674 3789880967865 5053174623820 5305833355011 6063809548584 7074444473348 7579761935730 8843055591685 10106349247640 10611666710022 14148888946696 15159523871460 17686111183370 21223333420044 26529166775055 30319047742920 35372222366740 42446666840088 53058333550110 70744444733480 106116667100220 212233334200440