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211311424 = 265362297
BaseRepresentation
bin11001001100001…
…01101101000000
3112201121201210001
430212011231000
5413043431144
632545045344
75144055202
oct1446055500
9481551701
10211311424
11a9309445
125a926854
1334a17a5c
14200c8772
1513840bd4
hexc985b40

211311424 has 28 divisors (see below), whose sum is σ = 427239684. Its totient is φ = 103660544.

The previous prime is 211311409. The next prime is 211311427. The reversal of 211311424 is 424113112.

It can be written as a sum of positive squares in 2 ways, for example, as 110670400 + 100641024 = 10520^2 + 10032^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211311427) 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, 27757 + ... + 34540.

Almost surely, 2211311424 is an apocalyptic number.

It is an amenable number.

211311424 is an abundant number, since it is smaller than the sum of its proper divisors (215928260).

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

211311424 is an equidigital number, since it uses as much as digits as its factorization.

211311424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62362 (or 62352 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 211311424 is about 14536.5547500087. The cubic root of 211311424 is about 595.6269304653.

Adding to 211311424 its reverse (424113112), we get a palindrome (635424536).

The spelling of 211311424 in words is "two hundred eleven million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 3392 62297 124594 249188 498376 996752 1993504 3301741 3987008 6603482 13206964 26413928 52827856 105655712 211311424