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224243143300 = 2252111922946853
BaseRepresentation
bin1101000011010111101…
…1101101001010000100
3210102210220000222002201
43100311323231022010
512133222221041200
6251003232444244
722125645161041
oct3206573551204
9712726028081
10224243143300
1187112454620
12375626a9684
13181b8ac9c97
14abd3b301c8
155c76992c6a
hex3435eed284

224243143300 has 144 divisors (see below), whose sum is σ = 561235953600. Its totient is φ = 76912243200.

The previous prime is 224243143297. The next prime is 224243143321. The reversal of 224243143300 is 3341342422.

224243143300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 4762674 + ... + 4809526.

It is an arithmetic number, because the mean of its divisors is an integer number (3897471900).

Almost surely, 2224243143300 is an apocalyptic number.

224243143300 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 224243143300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280617976800).

224243143300 is an abundant number, since it is smaller than the sum of its proper divisors (336992810300).

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

224243143300 is a wasteful number, since it uses less digits than its factorization.

224243143300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47126 (or 47119 counting only the distinct ones).

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

Adding to 224243143300 its reverse (3341342422), we get a palindrome (227584485722).

The spelling of 224243143300 in words is "two hundred twenty-four billion, two hundred forty-three million, one hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 229 275 380 418 458 475 550 836 916 950 1045 1100 1145 1900 2090 2290 2519 4180 4351 4580 5038 5225 5725 8702 10076 10450 11450 12595 17404 20900 21755 22900 25190 43510 46853 47861 50380 62975 87020 93706 95722 108775 125950 187412 191444 217550 234265 239305 251900 435100 468530 478610 515383 890207 937060 957220 1030766 1171325 1196525 1780414 2061532 2342650 2393050 2576915 3560828 4451035 4685300 4786100 5153830 8902070 9792277 10307660 10729337 12884575 17804140 19584554 21458674 22255175 25769150 39169108 42917348 44510350 48961385 51538300 53646685 89020700 97922770 107293370 118022707 195845540 203857403 214586740 236045414 244806925 268233425 407714806 472090828 489613850 536466850 590113535 815429612 979227700 1019287015 1072933700 1180227070 2038574030 2242431433 2360454140 2950567675 4077148060 4484862866 5096435075 5901135350 8969725732 10192870150 11212157165 11802270700 20385740300 22424314330 44848628660 56060785825 112121571650 224243143300