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223241340 = 223573491523
BaseRepresentation
bin11010100111001…
…10010001111100
3120120001211112210
431103212101330
5424122210330
634052500420
75350343250
oct1523462174
9516054483
10223241340
11105017583
126291a710
1337333b8a
1421912260
15148ea8b0
hexd4e647c

223241340 has 96 divisors (see below), whose sum is σ = 716889600. Its totient is φ = 50846976.

The previous prime is 223241321. The next prime is 223241341. The reversal of 223241340 is 43142322.

It is a super-3 number, since 3×2232413403 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223241341) 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, 145819 + ... + 147341.

It is an arithmetic number, because the mean of its divisors is an integer number (7467600).

Almost surely, 2223241340 is an apocalyptic number.

223241340 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 223241340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358444800).

223241340 is an abundant number, since it is smaller than the sum of its proper divisors (493648260).

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

223241340 is a wasteful number, since it uses less digits than its factorization.

223241340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 223241340 is about 14941.2629988231. The cubic root of 223241340 is about 606.6313823754.

Adding to 223241340 its reverse (43142322), we get a palindrome (266383662).

The spelling of 223241340 in words is "two hundred twenty-three million, two hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 349 420 698 1047 1396 1523 1745 2094 2443 3046 3490 4188 4569 4886 5235 6092 6980 7329 7615 9138 9772 10470 10661 12215 14658 15230 18276 20940 21322 22845 24430 29316 30460 31983 36645 42644 45690 48860 53305 63966 73290 91380 106610 127932 146580 159915 213220 319830 531527 639660 1063054 1594581 2126108 2657635 3189162 3720689 5315270 6378324 7441378 7972905 10630540 11162067 14882756 15945810 18603445 22324134 31891620 37206890 44648268 55810335 74413780 111620670 223241340