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223141312300 = 225261971492531
BaseRepresentation
bin1100111111010001000…
…0100011011100101100
3210022222002202011010011
43033310100203130230
512123443133443200
6250302032423004
722056435600544
oct3176420433454
9708862664104
10223141312300
11866a74a9695
12372b56a7a64
1318071757a8a
14ab2b676324
155c0ed995ba
hex33f442372c

223141312300 has 144 divisors (see below), whose sum is σ = 500763261600. Its totient is φ = 86270976000.

The previous prime is 223141312297. The next prime is 223141312309. The reversal of 223141312300 is 3213141322.

223141312300 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 3×2231413123003 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (223141312309) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 88162035 + ... + 88164565.

It is an arithmetic number, because the mean of its divisors is an integer number (3477522650).

Almost surely, 2223141312300 is an apocalyptic number.

223141312300 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 223141312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250381630800).

223141312300 is an abundant number, since it is smaller than the sum of its proper divisors (277621949300).

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

223141312300 is a wasteful number, since it uses less digits than its factorization.

223141312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 223141312300 its reverse (3213141322), we get a palindrome (226354453622).

The spelling of 223141312300 in words is "two hundred twenty-three billion, one hundred forty-one million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 97 100 122 149 194 244 298 305 388 485 596 610 745 970 1220 1490 1525 1940 2425 2531 2980 3050 3725 4850 5062 5917 6100 7450 9089 9700 10124 11834 12655 14453 14900 18178 23668 25310 28906 29585 36356 45445 50620 57812 59170 63275 72265 90890 118340 126550 144530 147925 154391 181780 227225 245507 253100 289060 295850 308782 361325 377119 454450 491014 591700 617564 722650 754238 771955 881633 908900 982028 1227535 1445300 1508476 1543910 1763266 1885595 2455070 3087820 3526532 3771190 3859775 4408165 4910140 6137675 7542380 7719550 8816330 9427975 12275350 14975927 15439100 17632660 18855950 22040825 23004259 24550700 29951854 36580543 37711900 44081650 46008518 59903708 73161086 74879635 88163300 92017036 115021295 146322172 149759270 182902715 230042590 299518540 365805430 374398175 460085180 575106475 731610860 748796350 914513575 1150212950 1497592700 1829027150 2231413123 2300425900 3658054300 4462826246 8925652492 11157065615 22314131230 44628262460 55785328075 111570656150 223141312300