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223717340 = 225721120753
BaseRepresentation
bin11010101010110…
…10011111011100
3120120222000111102
431111122133130
5424232423330
634111012232
75354365100
oct1525323734
9516860442
10223717340
11105312170
1262b0a078
133746c732
14219d7900
1514991945
hexd55a7dc

223717340 has 72 divisors (see below), whose sum is σ = 596220912. Its totient is φ = 69726720.

The previous prime is 223717327. The next prime is 223717349. The reversal of 223717340 is 43717322.

223717340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223717349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404 + ... + 21156.

It is an arithmetic number, because the mean of its divisors is an integer number (8280846).

Almost surely, 2223717340 is an apocalyptic number.

223717340 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 223717340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298110456).

223717340 is an abundant number, since it is smaller than the sum of its proper divisors (372503572).

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

223717340 is a wasteful number, since it uses less digits than its factorization.

223717340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20787 (or 20778 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 223717340 is about 14957.1835584110. The cubic root of 223717340 is about 607.0622338025.

The spelling of 223717340 in words is "two hundred twenty-three million, seven hundred seventeen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 20753 41506 83012 103765 145271 207530 228283 290542 415060 456566 581084 726355 913132 1016897 1141415 1452710 1597981 2033794 2282830 2905420 3195962 4067588 4565660 5084485 6391924 7989905 10168970 11185867 15979810 20337940 22371734 31959620 44743468 55929335 111858670 223717340