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2243305341 = 33317349751
BaseRepresentation
bin1000010110110110…
…0001111101111101
312210100011201102000
42011231201331331
514043241232331
61010333452513
7106406531544
oct20555417575
95710151360
102243305341
11a51318562
12527341139
132999b4814
14173d1115b
15d1e230e6
hex85b61f7d

2243305341 has 32 divisors (see below), whose sum is σ = 3347904000. Its totient is φ = 1484568000.

The previous prime is 2243305331. The next prime is 2243305343. The reversal of 2243305341 is 1435033422.

It is not a de Polignac number, because 2243305341 - 27 = 2243305213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243305343) 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 31 ways as a sum of consecutive naturals, for example, 2986716 + ... + 2987466.

It is an arithmetic number, because the mean of its divisors is an integer number (104622000).

Almost surely, 22243305341 is an apocalyptic number.

It is an amenable number.

2243305341 is a deficient number, since it is larger than the sum of its proper divisors (1104598659).

2243305341 is a wasteful number, since it uses less digits than its factorization.

2243305341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2243305341 is about 47363.5444302894. The cubic root of 2243305341 is about 1309.0697785928.

Adding to 2243305341 its reverse (1435033422), we get a palindrome (3678338763).

The spelling of 2243305341 in words is "two billion, two hundred forty-three million, three hundred five thousand, three hundred forty-one".

Divisors: 1 3 9 27 317 349 751 951 1047 2253 2853 3141 6759 8559 9423 20277 110633 238067 262099 331899 714201 786297 995697 2142603 2358891 2987091 6427809 7076673 83085383 249256149 747768447 2243305341