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230242242033 = 3244575739841
BaseRepresentation
bin1101011001101110000…
…0011100110111110001
3211000021222101202110200
43112123200130313301
512233014003221113
6253434414145413
722430421523566
oct3263340346761
9730258352420
10230242242033
118971081a261
12387577b2269
131893393b74b
14b20278686d
155ec849d873
hex359b81cdf1

230242242033 has 12 divisors (see below), whose sum is σ = 332646803268. Its totient is φ = 153460362240.

The previous prime is 230242241993. The next prime is 230242242037. The reversal of 230242242033 is 330242242032.

It is a happy number.

230242242033 is a `hidden beast` number, since 2 + 30 + 2 + 422 + 4 + 203 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97974008064 + 132268233969 = 313008^2 + 363687^2 .

It is not a de Polignac number, because 230242242033 - 213 = 230242233841 is a prime.

It is a super-2 number, since 2×2302422420332 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230242241988 and 230242242006.

It is not an unprimeable number, because it can be changed into a prime (230242242037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2829808 + ... + 2910033.

It is an arithmetic number, because the mean of its divisors is an integer number (27720566939).

Almost surely, 2230242242033 is an apocalyptic number.

It is an amenable number.

230242242033 is a deficient number, since it is larger than the sum of its proper divisors (102404561235).

230242242033 is a wasteful number, since it uses less digits than its factorization.

230242242033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744304 (or 5744301 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 230242242033 its reverse (330242242032), we get a palindrome (560484484065).

Subtracting 230242242033 from its reverse (330242242032), we obtain a palindrome (99999999999).

The spelling of 230242242033 in words is "two hundred thirty billion, two hundred forty-two million, two hundred forty-two thousand, thirty-three".

Divisors: 1 3 9 4457 13371 40113 5739841 17219523 51658569 25582471337 76747414011 230242242033