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2232055441 = 711291995023
BaseRepresentation
bin1000010100001010…
…0111011010010001
312202120000011110001
42011002213122101
514032401233231
61005252410001
7106212105160
oct20502473221
95676004401
102232055441
11a45a34320
12523616901
13297576085
141726233d7
15d0e4eb61
hex850a7691

2232055441 has 32 divisors (see below), whose sum is σ = 2893824000. Its totient is φ = 1670518080.

The previous prime is 2232055411. The next prime is 2232055523. The reversal of 2232055441 is 1445502322.

It is not a de Polignac number, because 2232055441 - 223 = 2223666833 is a prime.

It is a super-3 number, since 3×22320554413 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2232055411) 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 31 ways as a sum of consecutive naturals, for example, 441856 + ... + 446878.

It is an arithmetic number, because the mean of its divisors is an integer number (90432000).

Almost surely, 22232055441 is an apocalyptic number.

It is an amenable number.

2232055441 is a deficient number, since it is larger than the sum of its proper divisors (661768559).

2232055441 is a wasteful number, since it uses less digits than its factorization.

2232055441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269.

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2232055441 is about 47244.6339915974. The cubic root of 2232055441 is about 1306.8778358199.

Adding to 2232055441 its reverse (1445502322), we get a palindrome (3677557763).

The spelling of 2232055441 in words is "two billion, two hundred thirty-two million, fifty-five thousand, four hundred forty-one".

Divisors: 1 7 11 29 77 199 203 319 1393 2189 2233 5023 5771 15323 35161 40397 55253 63481 145667 386771 444367 999577 1019669 1602337 6997039 10995347 11216359 28987733 76967429 202914131 318865063 2232055441