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212330020 = 22572324761
BaseRepresentation
bin11001010011111…
…10011000100100
3112210112111000211
430221332120210
5413324030040
633022545204
75155526650
oct1451763044
9483474024
10212330020
11a9944761
125b138204
1334cb3586
14202b1a60
15139928ea
hexca7e624

212330020 has 144 divisors (see below), whose sum is σ = 552964608. Its totient is φ = 67034880.

The previous prime is 212330003. The next prime is 212330033. The reversal of 212330020 is 20033212.

It is a happy number.

212330020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3480790 + ... + 3480850.

It is an arithmetic number, because the mean of its divisors is an integer number (3840032).

Almost surely, 2212330020 is an apocalyptic number.

212330020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276482304).

212330020 is an abundant number, since it is smaller than the sum of its proper divisors (340634588).

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

212330020 is a wasteful number, since it uses less digits than its factorization.

212330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 212330020 is about 14571.5483048302. The cubic root of 212330020 is about 596.5824411489.

Adding to 212330020 its reverse (20033212), we get a palindrome (232363232).

The spelling of 212330020 in words is "two hundred twelve million, three hundred thirty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 47 61 70 92 94 115 122 140 161 188 230 235 244 305 322 329 427 460 470 529 610 644 658 805 854 940 1058 1081 1220 1316 1403 1610 1645 1708 2116 2135 2162 2645 2806 2867 3220 3290 3703 4270 4324 5290 5405 5612 5734 6580 7015 7406 7567 8540 9821 10580 10810 11468 14030 14335 14812 15134 18515 19642 20069 21620 24863 28060 28670 30268 32269 37030 37835 39284 40138 49105 49726 57340 64538 65941 74060 75670 80276 98210 99452 100345 124315 129076 131882 151340 161345 174041 196420 200690 225883 248630 263764 322690 329705 348082 401380 451766 461587 497260 645380 659410 696164 870205 903532 923174 1129415 1318820 1516643 1740410 1846348 2258830 2307935 3033286 3480820 4517660 4615870 6066572 7583215 9231740 10616501 15166430 21233002 30332860 42466004 53082505 106165010 212330020