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1222112205 = 34519241659
BaseRepresentation
bin100100011010111…
…1111001111001101
310011011121201210000
41020311333033031
510000330042310
6321134034513
742166532226
oct11065771715
93134551700
101222112205
11577939a96
122a1348a39
13166267122
14b844824d
15724574c0
hex48d7f3cd

1222112205 has 80 divisors (see below), whose sum is σ = 2319134400. Its totient is φ = 613992960.

The previous prime is 1222112197. The next prime is 1222112207. The reversal of 1222112205 is 5022112221.

It is not a de Polignac number, because 1222112205 - 23 = 1222112197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222112207) 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 79 ways as a sum of consecutive naturals, for example, 1854166 + ... + 1854824.

It is an arithmetic number, because the mean of its divisors is an integer number (28989180).

Almost surely, 21222112205 is an apocalyptic number.

1222112205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1222112205 is a deficient number, since it is larger than the sum of its proper divisors (1097022195).

1222112205 is a wasteful number, since it uses less digits than its factorization.

1222112205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1222112205 is about 34958.7214440117. The cubic root of 1222112205 is about 1069.1460286708.

Adding to 1222112205 its reverse (5022112221), we get a palindrome (6244224426).

The spelling of 1222112205 in words is "one billion, two hundred twenty-two million, one hundred twelve thousand, two hundred five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 241 285 405 513 659 723 855 1205 1539 1977 2169 2565 3295 3615 4579 5931 6507 7695 9885 10845 12521 13737 17793 19521 22895 29655 32535 37563 41211 53379 62605 68685 88965 97605 112689 123633 158819 187815 206055 266895 338067 370899 476457 563445 618165 794095 1014201 1429371 1690335 1854495 2382285 3017561 4288113 5071005 7146855 9052683 12864339 15087805 21440565 27158049 45263415 64321695 81474147 135790245 244422441 407370735 1222112205