Search a number
-
+
223442322130000 = 245444949764437
BaseRepresentation
bin110010110011100000111000…
…001111010000010001010000
31002022010212200121111011200101
4302303200320033100101100
5213241334333431130000
62111115552525302144
765031114016556611
oct6263407017202120
91068125617434611
10223442322130000
11652173a17930a6
1221088751704954
13978a69c8b62cc
143d26947a97c08
151ac73aa83ce6a
hexcb38383d0450

223442322130000 has 100 divisors (see below), whose sum is σ = 542181063788100. Its totient is φ = 89177869312000.

The previous prime is 223442322129953. The next prime is 223442322130031. The reversal of 223442322130000 is 31223244322.

It can be written as a sum of positive squares in 10 ways, for example, as 93156625525824 + 130285696604176 = 9651768^2 + 11414276^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 20392219 + ... + 29372218.

It is an arithmetic number, because the mean of its divisors is an integer number (5421810637881).

Almost surely, 2223442322130000 is an apocalyptic number.

223442322130000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223442322130000 is an abundant number, since it is smaller than the sum of its proper divisors (318738741658100).

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

223442322130000 is an equidigital number, since it uses as much as digits as its factorization.

223442322130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49764914 (or 49764893 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 223442322130000 its reverse (31223244322), we get a palindrome (223473545374322).

The spelling of 223442322130000 in words is "two hundred twenty-three trillion, four hundred forty-two billion, three hundred twenty-two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 449 500 625 898 1000 1250 1796 2000 2245 2500 3592 4490 5000 7184 8980 10000 11225 17960 22450 35920 44900 56125 89800 112250 179600 224500 280625 449000 561250 898000 1122500 2245000 4490000 49764437 99528874 199057748 248822185 398115496 497644370 796230992 995288740 1244110925 1990577480 2488221850 3981154960 4976443700 6220554625 9952887400 12441109250 19905774800 22344232213 24882218500 31102773125 44688464426 49764437000 62205546250 89376928852 99528874000 111721161065 124411092500 178753857704 223442322130 248822185000 357507715408 446884644260 497644370000 558605805325 893769288520 1117211610650 1787538577040 2234423221300 2793029026625 4468846442600 5586058053250 8937692885200 11172116106500 13965145133125 22344232213000 27930290266250 44688464426000 55860580532500 111721161065000 223442322130000