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211343000 = 23531119213
BaseRepresentation
bin11001001100011…
…01011010011000
3112201200100002112
430212031122120
5413100434000
632545451452
75144246231
oct1446153230
9481610075
10211343000
11a9330140
125a940b88
1334a2923b
14200d6088
151384a235
hexc98d698

211343000 has 64 divisors (see below), whose sum is σ = 539529120. Its totient is φ = 76848000.

The previous prime is 211342939. The next prime is 211343051. The reversal of 211343000 is 343112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1394 + ... + 20606.

Almost surely, 2211343000 is an apocalyptic number.

211343000 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 211343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269764560).

211343000 is an abundant number, since it is smaller than the sum of its proper divisors (328186120).

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

211343000 is a wasteful number, since it uses less digits than its factorization.

211343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19245 (or 19231 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 211343000 is about 14537.6407989742. The cubic root of 211343000 is about 595.6565969151.

Adding to 211343000 its reverse (343112), we get a palindrome (211686112).

The spelling of 211343000 in words is "two hundred eleven million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 19213 38426 76852 96065 153704 192130 211343 384260 422686 480325 768520 845372 960650 1056715 1690744 1921300 2113430 2401625 3842600 4226860 4803250 5283575 8453720 9606500 10567150 19213000 21134300 26417875 42268600 52835750 105671500 211343000