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212333000 = 23531197199
BaseRepresentation
bin11001010011111…
…11000111001000
3112210112122010012
430221333013020
5413324124000
633023011052
75155541435
oct1451770710
9483478105
10212333000
11a9946a20
125b139a88
1334cb4a39
14202b2b8c
1513993735
hexca7f1c8

212333000 has 128 divisors (see below), whose sum is σ = 550368000. Its totient is φ = 76032000.

The previous prime is 212332997. The next prime is 212333039. The reversal of 212333000 is 333212.

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, 1066901 + ... + 1067099.

It is an arithmetic number, because the mean of its divisors is an integer number (4299750).

Almost surely, 2212333000 is an apocalyptic number.

212333000 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 212333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275184000).

212333000 is an abundant number, since it is smaller than the sum of its proper divisors (338035000).

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

212333000 is a wasteful number, since it uses less digits than its factorization.

212333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 212333000 is about 14571.6505585332. The cubic root of 212333000 is about 596.5852320988.

Adding to 212333000 its reverse (333212), we get a palindrome (212666212).

The spelling of 212333000 in words is "two hundred twelve million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 97 100 110 125 194 199 200 220 250 275 388 398 440 485 500 550 776 796 970 995 1000 1067 1100 1375 1592 1940 1990 2134 2189 2200 2425 2750 3880 3980 4268 4378 4850 4975 5335 5500 7960 8536 8756 9700 9950 10670 10945 11000 12125 17512 19303 19400 19900 21340 21890 24250 24875 26675 38606 39800 42680 43780 48500 49750 53350 54725 77212 87560 96515 97000 99500 106700 109450 133375 154424 193030 199000 212333 213400 218900 266750 273625 386060 424666 437800 482575 533500 547250 772120 849332 965150 1061665 1067000 1094500 1698664 1930300 2123330 2189000 2412875 3860600 4246660 4825750 5308325 8493320 9651500 10616650 19303000 21233300 26541625 42466600 53083250 106166500 212333000