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2132225541 = 324126921481
BaseRepresentation
bin111111100010111…
…0010111000000101
312111121011021120100
41333011302320011
513331322204131
6551324554313
7103560421665
oct17705627005
95447137510
102132225541
119a4649676
124b60b2999
1327c991b24
141632781a5
15c72d07e6
hex7f172e05

2132225541 has 24 divisors (see below), whose sum is σ = 3166876440. Its totient is φ = 1381593600.

The previous prime is 2132225533. The next prime is 2132225617. The reversal of 2132225541 is 1455222312.

It can be written as a sum of positive squares in 4 ways, for example, as 2772225 + 2129453316 = 1665^2 + 46146^2 .

It is not a de Polignac number, because 2132225541 - 23 = 2132225533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132225041) 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 23 ways as a sum of consecutive naturals, for example, 88521 + ... + 110001.

It is an arithmetic number, because the mean of its divisors is an integer number (131953185).

Almost surely, 22132225541 is an apocalyptic number.

It is an amenable number.

2132225541 is a deficient number, since it is larger than the sum of its proper divisors (1034650899).

2132225541 is a wasteful number, since it uses less digits than its factorization.

2132225541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21797 (or 21794 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 2132225541 is about 46176.0277741600. The cubic root of 2132225541 is about 1287.0963155315.

Adding to 2132225541 its reverse (1455222312), we get a palindrome (3587447853).

The spelling of 2132225541 in words is "two billion, one hundred thirty-two million, two hundred twenty-five thousand, five hundred forty-one".

Divisors: 1 3 9 41 123 269 369 807 2421 11029 21481 33087 64443 99261 193329 880721 2642163 5778389 7926489 17335167 52005501 236913949 710741847 2132225541