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224311230234120 = 23353735011421587
BaseRepresentation
bin110011000000001010000111…
…001100100111111000001000
31002102012221111022101021222110
4303000022013030213320020
5213400103344414442440
62113023053453422320
765150644251600441
oct6300120714477010
91072187438337873
10224311230234120
116552194975a377
12211a902919a9a0
1398215c5a06293
143d56a15a062c8
151adecb345b080
hexcc0287327e08

224311230234120 has 64 divisors (see below), whose sum is σ = 674737802608320. Its totient is φ = 59655962559744.

The previous prime is 224311230234097. The next prime is 224311230234163. The reversal of 224311230234120 is 21432032113422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 2505666034 + ... + 2505755553.

It is an arithmetic number, because the mean of its divisors is an integer number (10542778165755).

Almost surely, 2224311230234120 is an apocalyptic number.

224311230234120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224311230234120 is an abundant number, since it is smaller than the sum of its proper divisors (450426572374200).

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

224311230234120 is a wasteful number, since it uses less digits than its factorization.

224311230234120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011421974 (or 5011421970 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 224311230234120 its reverse (21432032113422), we get a palindrome (245743262347542).

The spelling of 224311230234120 in words is "two hundred twenty-four trillion, three hundred eleven billion, two hundred thirty million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 373 746 1119 1492 1865 2238 2984 3730 4476 5595 7460 8952 11190 14920 22380 44760 5011421587 10022843174 15034264761 20045686348 25057107935 30068529522 40091372696 50114215870 60137059044 75171323805 100228431740 120274118088 150342647610 200456863480 300685295220 601370590440 1869260251951 3738520503902 5607780755853 7477041007804 9346301259755 11215561511706 14954082015608 18692602519510 22431123023412 28038903779265 37385205039020 44862246046824 56077807558530 74770410078040 112155615117060 224311230234120