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223144020 = 2232511251449
BaseRepresentation
bin11010100110011…
…10100001010100
3120112212220001100
431103032201110
5424111102040
634050430100
75346456441
oct1523164124
9515786040
10223144020
11104a60450
1262892330
13372cb7a8
14218c89c8
15148cbb30
hexd4ce854

223144020 has 144 divisors (see below), whose sum is σ = 742996800. Its totient is φ = 53760000.

The previous prime is 223144013. The next prime is 223144021. The reversal of 223144020 is 20441322.

223144020 is a `hidden beast` number, since 223 + 1 + 440 + 2 + 0 = 666.

223144020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231440203 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 223143984 and 223144002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223144021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496756 + ... + 497204.

It is an arithmetic number, because the mean of its divisors is an integer number (5159700).

Almost surely, 2223144020 is an apocalyptic number.

223144020 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 223144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371498400).

223144020 is an abundant number, since it is smaller than the sum of its proper divisors (519852780).

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

223144020 is a wasteful number, since it uses less digits than its factorization.

223144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 223144020 is about 14938.0058910150. The cubic root of 223144020 is about 606.5432177802.

Adding to 223144020 its reverse (20441322), we get a palindrome (243585342).

The spelling of 223144020 in words is "two hundred twenty-three million, one hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 251 330 396 449 495 502 660 753 898 990 1004 1255 1347 1506 1796 1980 2245 2259 2510 2694 2761 3012 3765 4041 4490 4518 4939 5020 5388 5522 6735 7530 8082 8283 8980 9036 9878 11044 11295 13470 13805 14817 15060 16164 16566 19756 20205 22590 24695 24849 26940 27610 29634 33132 40410 41415 44451 45180 49390 49698 55220 59268 74085 80820 82830 88902 98780 99396 112699 124245 148170 165660 177804 222255 225398 248490 296340 338097 444510 450796 496980 563495 676194 889020 1014291 1126990 1239689 1352388 1690485 2028582 2253980 2479378 3380970 3719067 4057164 4958756 5071455 6198445 6761940 7438134 10142910 11157201 12396890 14876268 18595335 20285820 22314402 24793780 37190670 44628804 55786005 74381340 111572010 223144020