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211065440 = 2551638093
BaseRepresentation
bin11001001010010…
…01101001100000
3112201011020100112
430211021221200
5413013043230
632535510452
75142012065
oct1445115140
9481136315
10211065440
11a9160653
125a828428
133495cac1
1420062c6c
15137e2d95
hexc949a60

211065440 has 48 divisors (see below), whose sum is σ = 501763248. Its totient is φ = 83897856.

The previous prime is 211065419. The next prime is 211065443. The reversal of 211065440 is 44560112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211065443) 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 7 ways as a sum of consecutive naturals, for example, 22034 + ... + 30126.

It is an arithmetic number, because the mean of its divisors is an integer number (10453401).

Almost surely, 2211065440 is an apocalyptic number.

211065440 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 211065440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250881624).

211065440 is an abundant number, since it is smaller than the sum of its proper divisors (290697808).

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

211065440 is a wasteful number, since it uses less digits than its factorization.

211065440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271 (or 8263 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 211065440 is about 14528.0914094041. The cubic root of 211065440 is about 595.3957210326.

The spelling of 211065440 in words is "two hundred eleven million, sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 163 326 652 815 1304 1630 2608 3260 5216 6520 8093 13040 16186 26080 32372 40465 64744 80930 129488 161860 258976 323720 647440 1294880 1319159 2638318 5276636 6595795 10553272 13191590 21106544 26383180 42213088 52766360 105532720 211065440