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2272332101 = 137318113229
BaseRepresentation
bin1000011101110001…
…0000100101000101
312212100210102122012
42013130100211011
514123204111401
61013251544005
7110211334634
oct20734204505
95770712565
102272332101
11a66743816
12534bbb005
132a2a08810
14177b0951b
15d47588bb
hex87710945

2272332101 has 16 divisors (see below), whose sum is σ = 2494542960. Its totient is φ = 2057218560.

The previous prime is 2272332061. The next prime is 2272332109. The reversal of 2272332101 is 1012332722.

It can be written as a sum of positive squares in 8 ways, for example, as 35988001 + 2236344100 = 5999^2 + 47290^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2272332101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272332109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165155 + ... + 178383.

It is an arithmetic number, because the mean of its divisors is an integer number (155908935).

Almost surely, 22272332101 is an apocalyptic number.

It is an amenable number.

2272332101 is a deficient number, since it is larger than the sum of its proper divisors (222210859).

2272332101 is a wasteful number, since it uses less digits than its factorization.

2272332101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13496.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 2272332101 is about 47668.9846860619. The cubic root of 2272332101 is about 1314.6917407433.

Adding to 2272332101 its reverse (1012332722), we get a palindrome (3284664823).

The spelling of 2272332101 in words is "two billion, two hundred seventy-two million, three hundred thirty-two thousand, one hundred one".

Divisors: 1 13 73 181 949 2353 13213 13229 171769 171977 965717 2394449 12554321 31127837 174794777 2272332101