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2442220065 = 34529269773
BaseRepresentation
bin1001000110010001…
…0101001000100001
320022012110122010000
42101210111020201
520000202020230
61042201130213
7114343346055
oct22144251041
96265418100
102442220065
11104362a09a
12581a89969
132cbc7bb3c
141924cdc65
15e4615b60
hex91915221

2442220065 has 80 divisors (see below), whose sum is σ = 4551584400. Its totient is φ = 1251307008.

The previous prime is 2442220061. The next prime is 2442220069. The reversal of 2442220065 is 5600222442.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2442220061) and next prime (2442220069).

It can be written as a sum of positive squares in 8 ways, for example, as 749062161 + 1693157904 = 27369^2 + 41148^2 .

It is not a de Polignac number, because 2442220065 - 22 = 2442220061 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 not an unprimeable number, because it can be changed into a prime (2442220061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3159019 + ... + 3159791.

It is an arithmetic number, because the mean of its divisors is an integer number (56894805).

Almost surely, 22442220065 is an apocalyptic number.

It is an amenable number.

2442220065 is a deficient number, since it is larger than the sum of its proper divisors (2109364335).

2442220065 is a wasteful number, since it uses less digits than its factorization.

2442220065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2442220065 is about 49418.8229827462. The cubic root of 2442220065 is about 1346.6712805436.

The spelling of 2442220065 in words is "two billion, four hundred forty-two million, two hundred twenty thousand, sixty-five".

Divisors: 1 3 5 9 15 27 29 45 81 87 135 145 261 269 405 435 773 783 807 1305 1345 2319 2349 2421 3865 3915 4035 6957 7263 7801 11595 11745 12105 20871 21789 22417 23403 34785 36315 39005 62613 67251 70209 104355 108945 112085 117015 201753 207937 210627 313065 336255 351045 605259 623811 631881 1008765 1039685 1053135 1815777 1871433 3026295 3119055 3159405 5614299 6030173 9078885 9357165 16842897 18090519 28071495 30150865 54271557 84214485 90452595 162814671 271357785 488444013 814073355 2442220065