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22005441 = 325346133
BaseRepresentation
bin101001111110…
…0011011000001
31112101222210100
41103330123001
521113133231
62103353013
7355020543
oct123743301
945358710
1022005441
1111470017
127452769
134736193
142ccb693
151dea1e6
hex14fc6c1

22005441 has 12 divisors (see below), whose sum is σ = 32386068. Its totient is φ = 14393184.

The previous prime is 22005419. The next prime is 22005449. The reversal of 22005441 is 14450022.

22005441 is a `hidden beast` number, since 220 + 0 + 5 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14470416 + 7535025 = 3804^2 + 2745^2 .

It is not a de Polignac number, because 22005441 - 26 = 22005377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22005449) 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 11 ways as a sum of consecutive naturals, for example, 22590 + ... + 23543.

It is an arithmetic number, because the mean of its divisors is an integer number (2698839).

Almost surely, 222005441 is an apocalyptic number.

It is an amenable number.

22005441 is a deficient number, since it is larger than the sum of its proper divisors (10380627).

22005441 is a wasteful number, since it uses less digits than its factorization.

22005441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46192 (or 46189 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 22005441 is about 4690.9957365148. The cubic root of 22005441 is about 280.2270310039.

Adding to 22005441 its reverse (14450022), we get a palindrome (36455463).

The spelling of 22005441 in words is "twenty-two million, five thousand, four hundred forty-one".

Divisors: 1 3 9 53 159 477 46133 138399 415197 2445049 7335147 22005441