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211512340 = 225137611069
BaseRepresentation
bin11001001101101…
…10110000010100
3112201222221101101
430212312300110
5413121343330
632553235444
75145553024
oct1446666024
9481887341
10211512340
11a9436396
125aa02b84
1334a88340
142013ba84
15138804ca
hexc9b6c14

211512340 has 48 divisors (see below), whose sum is σ = 479419920. Its totient is φ = 77921280.

The previous prime is 211512299. The next prime is 211512377. The reversal of 211512340 is 43215112.

It can be written as a sum of positive squares in 8 ways, for example, as 77369616 + 134142724 = 8796^2 + 11582^2 .

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, 197326 + ... + 198394.

It is an arithmetic number, because the mean of its divisors is an integer number (9987915).

Almost surely, 2211512340 is an apocalyptic number.

211512340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211512340 is an abundant number, since it is smaller than the sum of its proper divisors (267907580).

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

211512340 is a wasteful number, since it uses less digits than its factorization.

211512340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 211512340 is about 14543.4638240001. The cubic root of 211512340 is about 595.8156457277.

Adding to 211512340 its reverse (43215112), we get a palindrome (254727452).

The spelling of 211512340 in words is "two hundred eleven million, five hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 761 1069 1522 2138 3044 3805 4276 5345 7610 9893 10690 13897 15220 19786 21380 27794 39572 49465 55588 69485 98930 138970 197860 277940 813509 1627018 3254036 4067545 8135090 10575617 16270180 21151234 42302468 52878085 105756170 211512340