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224440014300 = 2235210910616469
BaseRepresentation
bin1101000100000110101…
…0101101010111011100
3210110022121111001100020
43101001222231113130
512134123120424200
6251034544232140
722133555434005
oct3210152552734
9713277431306
10224440014300
118720359a727
12375b860b650
131821a829cb8
14ac11d3a1ac
155c88dceea0
hex3441aad5dc

224440014300 has 144 divisors (see below), whose sum is σ = 656056447200. Its totient is φ = 59236531200.

The previous prime is 224440014287. The next prime is 224440014313. The reversal of 224440014300 is 3410044422.

It is a happy number.

224440014300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224440014287) and next prime (224440014313).

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 47 ways as a sum of consecutive naturals, for example, 34691466 + ... + 34697934.

It is an arithmetic number, because the mean of its divisors is an integer number (4555947550).

Almost surely, 2224440014300 is an apocalyptic number.

224440014300 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 224440014300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328028223600).

224440014300 is an abundant number, since it is smaller than the sum of its proper divisors (431616432900).

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

224440014300 is a wasteful number, since it uses less digits than its factorization.

224440014300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7656 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 224440014300 its reverse (3410044422), we get a palindrome (227850058722).

The spelling of 224440014300 in words is "two hundred twenty-four billion, four hundred forty million, fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 150 218 300 327 436 545 654 1061 1090 1308 1635 2122 2180 2725 3183 3270 4244 5305 5450 6366 6469 6540 8175 10610 10900 12732 12938 15915 16350 19407 21220 25876 26525 31830 32345 32700 38814 53050 63660 64690 77628 79575 97035 106100 115649 129380 159150 161725 194070 231298 318300 323450 346947 388140 462596 485175 578245 646900 693894 705121 970350 1156490 1387788 1410242 1734735 1940700 2115363 2312980 2820484 2891225 3469470 3525605 4230726 5782450 6863609 6938940 7051210 8461452 8673675 10576815 11564900 13727218 14102420 17347350 17628025 20590827 21153630 27454436 34318045 34694700 35256050 41181654 42307260 52884075 68636090 70512100 82363308 102954135 105768150 137272180 171590225 205908270 211536300 343180450 411816540 514770675 686360900 748133381 1029541350 1496266762 2059082700 2244400143 2992533524 3740666905 4488800286 7481333810 8977600572 11222000715 14962667620 18703334525 22444001430 37406669050 44888002860 56110003575 74813338100 112220007150 224440014300