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223145535320 = 235172112317189
BaseRepresentation
bin1100111111010010000…
…0101010011101011000
3210022222101200201000022
43033310200222131120
512124000224112240
6250302303130012
722056516516551
oct3176440523530
9708871621008
10223145535320
11866a9923494
12372b6ba3908
13180725a5cc6
14ab2c055328
155c104309b5
hex33f482a758

223145535320 has 96 divisors (see below), whose sum is σ = 533854702800. Its totient is φ = 83928041472.

The previous prime is 223145535311. The next prime is 223145535373. The reversal of 223145535320 is 23535541322.

223145535320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231455353203 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12973286 + ... + 12990474.

Almost surely, 2223145535320 is an apocalyptic number.

223145535320 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 223145535320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266927351400).

223145535320 is an abundant number, since it is smaller than the sum of its proper divisors (310709167480).

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

223145535320 is a wasteful number, since it uses less digits than its factorization.

223145535320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18357 (or 18336 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The spelling of 223145535320 in words is "two hundred twenty-three billion, one hundred forty-five million, five hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1123 1156 1445 2246 2312 2890 4492 5615 5780 8984 11230 11560 17189 19091 22460 34378 38182 44920 68756 76364 85945 95455 137512 152728 171890 190910 292213 324547 343780 381820 584426 649094 687560 763640 1168852 1298188 1461065 1622735 2337704 2596376 2922130 3245470 4967621 5844260 6490940 9935242 11688520 12981880 19303247 19870484 24838105 38606494 39740968 49676210 77212988 96516235 99352420 154425976 193032470 198704840 328155199 386064940 656310398 772129880 1312620796 1640775995 2625241592 3281551990 5578638383 6563103980 11157276766 13126207960 22314553532 27893191915 44629107064 55786383830 111572767660 223145535320