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211314440 = 2355282861
BaseRepresentation
bin11001001100001…
…10011100001000
3112201121212220202
430212012130020
5413044030230
632545111332
75144100041
oct1446063410
9481555822
10211314440
11a9310737
125a928548
1334a1923c
14200c98c8
1513841a45
hexc986708

211314440 has 16 divisors (see below), whose sum is σ = 475457580. Its totient is φ = 84525760.

The previous prime is 211314421. The next prime is 211314443. The reversal of 211314440 is 44413112.

It can be written as a sum of positive squares in 2 ways, for example, as 211237156 + 77284 = 14534^2 + 278^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (211314443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2641391 + ... + 2641470.

Almost surely, 2211314440 is an apocalyptic number.

211314440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211314440 is an abundant number, since it is smaller than the sum of its proper divisors (264143140).

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

211314440 is a wasteful number, since it uses less digits than its factorization.

211314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5282872 (or 5282868 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 211314440 is about 14536.6584881120. The cubic root of 211314440 is about 595.6297642012.

Adding to 211314440 its reverse (44413112), we get a palindrome (255727552).

The spelling of 211314440 in words is "two hundred eleven million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 5282861 10565722 21131444 26414305 42262888 52828610 105657220 211314440