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2241199505 = 517241710909
BaseRepresentation
bin1000010110010101…
…1111110110010001
312210012012201202002
42011211133312101
514042221341010
61010220403345
7106352611226
oct20545376621
95705181662
102241199505
11a5010a3a6
125266a6555
1329942816c
1417392394d
15d1b591a5
hex8595fd91

2241199505 has 16 divisors (see below), whose sum is σ = 2849081040. Its totient is φ = 1686638592.

The previous prime is 2241199487. The next prime is 2241199507. The reversal of 2241199505 is 5059911422.

It can be written as a sum of positive squares in 8 ways, for example, as 135582736 + 2105616769 = 11644^2 + 45887^2 .

It is a cyclic number.

It is not a de Polignac number, because 2241199505 - 212 = 2241195409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2241199507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199991 + ... + 210899.

It is an arithmetic number, because the mean of its divisors is an integer number (178067565).

Almost surely, 22241199505 is an apocalyptic number.

It is an amenable number.

2241199505 is a deficient number, since it is larger than the sum of its proper divisors (607881535).

2241199505 is a wasteful number, since it uses less digits than its factorization.

2241199505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13348.

The product of its (nonzero) digits is 32400, while the sum is 38.

The square root of 2241199505 is about 47341.3086532259. The cubic root of 2241199505 is about 1308.6600336134.

The spelling of 2241199505 in words is "two billion, two hundred forty-one million, one hundred ninety-nine thousand, five hundred five".

Divisors: 1 5 17 85 2417 10909 12085 41089 54545 185453 205445 927265 26367053 131835265 448239901 2241199505