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224314013343213 = 3313713923138647
BaseRepresentation
bin110011000000001100101101…
…000101010101110111101101
31002102020012200021021212221000
4303000030231011111313231
5213400130044403440323
62113024233553230513
765151103234616223
oct6300145505256755
91072205607255830
10224314013343213
1165523047750432
12211a9685262439
13982194a49b2b1
143d56bdb4b0b13
151adedc795ae43
hexcc032d155ded

224314013343213 has 48 divisors (see below), whose sum is σ = 337168382578560. Its totient is φ = 147383082536256.

The previous prime is 224314013343181. The next prime is 224314013343241. The reversal of 224314013343213 is 312343310413422.

224314013343213 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 1 + 401 + 3 + 34 + 3 + 213 = 666.

224314013343213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 224314013343213 - 25 = 224314013343181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224314013343713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69899056 + ... + 73037702.

It is an arithmetic number, because the mean of its divisors is an integer number (7024341303720).

Almost surely, 2224314013343213 is an apocalyptic number.

It is an amenable number.

224314013343213 is a deficient number, since it is larger than the sum of its proper divisors (112854369235347).

224314013343213 is a wasteful number, since it uses less digits than its factorization.

224314013343213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139071 (or 3138926 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 224314013343213 its reverse (312343310413422), we get a palindrome (536657323756635).

The spelling of 224314013343213 in words is "two hundred twenty-four trillion, three hundred fourteen billion, thirteen million, three hundred forty-three thousand, two hundred thirteen".

Divisors: 1 3 9 27 137 139 411 417 1233 1251 3699 3753 19043 19321 57129 57963 171387 173889 514161 521667 2646977 3138647 7940931 9415941 23822793 28247823 71468379 84743469 429994639 436271933 1289983917 1308815799 3869951751 3926447397 11609855253 11779342191 59769254821 60641798687 179307764463 181925396061 537923293389 545776188183 1613769880167 1637328564549 8307926420119 24923779260357 74771337781071 224314013343213