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223441140 = 2235131915077
BaseRepresentation
bin11010101000101…
…11000011110100
3120120102222121210
431110113003310
5424200104030
634101041420
75352134616
oct1524270364
9516388553
10223441140
111051436aa
12629b6270
13373a3ac0
1421964db6
1514939bb0
hexd5170f4

223441140 has 96 divisors (see below), whose sum is σ = 709269120. Its totient is φ = 52102656.

The previous prime is 223441117. The next prime is 223441147. The reversal of 223441140 is 41144322.

223441140 is digitally balanced in base 2, 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 (223441147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7282 + ... + 22358.

It is an arithmetic number, because the mean of its divisors is an integer number (7388220).

Almost surely, 2223441140 is an apocalyptic number.

223441140 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 223441140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354634560).

223441140 is an abundant number, since it is smaller than the sum of its proper divisors (485827980).

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

223441140 is a wasteful number, since it uses less digits than its factorization.

223441140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15121 (or 15119 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 223441140 is about 14947.9476852175. The cubic root of 223441140 is about 606.8123058682.

Adding to 223441140 its reverse (41144322), we get a palindrome (264585462).

The spelling of 223441140 in words is "two hundred twenty-three million, four hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 4940 7410 14820 15077 30154 45231 60308 75385 90462 150770 180924 196001 226155 286463 301540 392002 452310 572926 588003 784004 859389 904620 980005 1145852 1176006 1432315 1718778 1960010 2352012 2864630 2940015 3437556 3724019 3920020 4296945 5729260 5880030 7448038 8593890 11172057 11760060 14896076 17187780 18620095 22344114 37240190 44688228 55860285 74480380 111720570 223441140