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2230124211 = 33722237559
BaseRepresentation
bin1000010011101100…
…1111111010110011
312202102101001022000
42010323033322303
514031402433321
61005143145043
7106156512600
oct20473177263
95672331260
102230124211
11a44935367
12522a45183
1329704b033
1417227d6a7
15d0bbc826
hex84ecfeb3

2230124211 has 48 divisors (see below), whose sum is σ = 3861043200. Its totient is φ = 1268474256.

The previous prime is 2230124203. The next prime is 2230124227. The reversal of 2230124211 is 1124210322.

It is a happy number.

2230124211 is a `hidden beast` number, since 2 + 230 + 12 + 421 + 1 = 666.

It is not a de Polignac number, because 2230124211 - 23 = 2230124203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2230104211) 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 47 ways as a sum of consecutive naturals, for example, 291250 + ... + 298808.

It is an arithmetic number, because the mean of its divisors is an integer number (80438400).

Almost surely, 22230124211 is an apocalyptic number.

2230124211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2230124211 is a deficient number, since it is larger than the sum of its proper divisors (1630918989).

2230124211 is a wasteful number, since it uses less digits than its factorization.

2230124211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7805 (or 7792 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2230124211 is about 47224.1909512487. The cubic root of 2230124211 is about 1306.5008126368.

Adding to 2230124211 its reverse (1124210322), we get a palindrome (3354334533).

The spelling of 2230124211 in words is "two billion, two hundred thirty million, one hundred twenty-four thousand, two hundred eleven".

Divisors: 1 3 7 9 21 27 49 63 147 189 223 441 669 1323 1561 2007 4683 6021 7559 10927 14049 22677 32781 42147 52913 68031 98343 158739 204093 295029 370391 476217 1111173 1428651 1685657 3333519 5056971 10000557 11799599 15170913 35398797 45512739 82597193 106196391 247791579 318589173 743374737 2230124211