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212323300 = 22527535997
BaseRepresentation
bin11001010011111…
…00101111100100
3112210112010210221
430221330233210
5413323321200
633022454124
75155501240
oct1451745744
9483463727
10212323300
11a993a702
125b134344
1334cb04b7
14202ad420
151399091a
hexca7cbe4

212323300 has 144 divisors (see below), whose sum is σ = 551214720. Its totient is φ = 69488640.

The previous prime is 212323291. The next prime is 212323333. The reversal of 212323300 is 3323212.

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, 2188852 + ... + 2188948.

It is an arithmetic number, because the mean of its divisors is an integer number (3827880).

Almost surely, 2212323300 is an apocalyptic number.

212323300 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 212323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275607360).

212323300 is an abundant number, since it is smaller than the sum of its proper divisors (338891420).

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

212323300 is a wasteful number, since it uses less digits than its factorization.

212323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 212323300 is about 14571.3177166652. The cubic root of 212323300 is about 596.5761473673.

Adding to 212323300 its reverse (3323212), we get a palindrome (215646512).

The spelling of 212323300 in words is "two hundred twelve million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 53 59 70 97 100 106 118 140 175 194 212 236 265 295 350 371 388 413 485 530 590 679 700 742 826 970 1060 1180 1325 1358 1475 1484 1652 1855 1940 2065 2425 2650 2716 2950 3127 3395 3710 4130 4850 5141 5300 5723 5900 6254 6790 7420 8260 9275 9700 10282 10325 11446 12508 13580 15635 16975 18550 20564 20650 21889 22892 25705 28615 31270 33950 35987 37100 40061 41300 43778 51410 57230 62540 67900 71974 78175 80122 87556 102820 109445 114460 128525 143075 143948 156350 160244 179935 200305 218890 257050 286150 303319 312700 359870 400610 437780 514100 547225 572300 606638 719740 801220 899675 1001525 1094450 1213276 1516595 1799350 2003050 2123233 2188900 3033190 3598700 4006100 4246466 6066380 7582975 8492932 10616165 15165950 21232330 30331900 42464660 53080825 106161650 212323300