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224330113233 = 321131362716187
BaseRepresentation
bin1101000011101100011…
…1011110000011010001
3210110000221200111102100
43100323013132003101
512133412002110413
6251020020511013
722131052333512
oct3207307360321
9713027614370
10224330113233
11871575563a6
123758784b469
1318200b2a995
14ac014cca09
155c7e421a73
hex343b1de0d1

224330113233 has 24 divisors (see below), whose sum is σ = 326944114848. Its totient is φ = 148209892992.

The previous prime is 224330113229. The next prime is 224330113237. The reversal of 224330113233 is 332311033422.

224330113233 is a `hidden beast` number, since 2 + 2 + 4 + 330 + 1 + 1 + 323 + 3 = 666.

224330113233 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 (224330113229) and next prime (224330113237).

It is not a de Polignac number, because 224330113233 - 22 = 224330113229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 224330113197 and 224330113206.

It is not an unprimeable number, because it can be changed into a prime (224330113237) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13850566 + ... + 13866752.

It is an arithmetic number, because the mean of its divisors is an integer number (13622671452).

Almost surely, 2224330113233 is an apocalyptic number.

It is an amenable number.

224330113233 is a deficient number, since it is larger than the sum of its proper divisors (102614001615).

224330113233 is a wasteful number, since it uses less digits than its factorization.

224330113233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29933 (or 29930 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 224330113233 its reverse (332311033422), we get a palindrome (556641146655).

The spelling of 224330113233 in words is "two hundred twenty-four billion, three hundred thirty million, one hundred thirteen thousand, two hundred thirty-three".

Divisors: 1 3 9 113 339 1017 13627 16187 40881 48561 122643 145683 1539851 1829131 4619553 5487393 13858659 16462179 220580249 661740747 1985222241 24925568137 74776704411 224330113233