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211334120 = 23523229711
BaseRepresentation
bin11001001100010…
…11001111101000
3112201122212220122
430212023033220
5413100142440
632545342412
75144211314
oct1446131750
9481585818
10211334120
11a93244a8
125a937a08
1334a2519a
14200d2b44
15138477b5
hexc98b3e8

211334120 has 32 divisors (see below), whose sum is σ = 496177920. Its totient is φ = 80857920.

The previous prime is 211334119. The next prime is 211334129. The reversal of 211334120 is 21433112.

211334120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2113341202 = 89324220552348800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211334129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113936 + ... + 115775.

It is an arithmetic number, because the mean of its divisors is an integer number (15505560).

Almost surely, 2211334120 is an apocalyptic number.

211334120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211334120 is an abundant number, since it is smaller than the sum of its proper divisors (284843800).

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

211334120 is a wasteful number, since it uses less digits than its factorization.

211334120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229745 (or 229741 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 211334120 is about 14537.3353816991. The cubic root of 211334120 is about 595.6482542294.

Adding to 211334120 its reverse (21433112), we get a palindrome (232767232).

The spelling of 211334120 in words is "two hundred eleven million, three hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 229711 459422 918844 1148555 1837688 2297110 4594220 5283353 9188440 10566706 21133412 26416765 42266824 52833530 105667060 211334120