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2224242141 = 311175996619
BaseRepresentation
bin1000010010010011…
…0011110111011101
312202000022012121120
42010210303313131
514023401222031
61004413121153
7106055513652
oct20444636735
95660265546
102224242141
11a41588050
12520a891b9
13295a6b914
1417158bc29
15d0409a96
hex84933ddd

2224242141 has 32 divisors (see below), whose sum is σ = 3431808000. Its totient is φ = 1266420480.

The previous prime is 2224242131. The next prime is 2224242187. The reversal of 2224242141 is 1412424222.

It is a happy number.

It is not a de Polignac number, because 2224242141 - 221 = 2222144989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224242131) 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 31 ways as a sum of consecutive naturals, for example, 332730 + ... + 339348.

It is an arithmetic number, because the mean of its divisors is an integer number (107244000).

Almost surely, 22224242141 is an apocalyptic number.

It is an amenable number.

2224242141 is a deficient number, since it is larger than the sum of its proper divisors (1207565859).

2224242141 is a wasteful number, since it uses less digits than its factorization.

2224242141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7249.

The product of its digits is 2048, while the sum is 24.

The square root of 2224242141 is about 47161.8716867768. The cubic root of 2224242141 is about 1305.3511463861.

Adding to 2224242141 its reverse (1412424222), we get a palindrome (3636666363).

The spelling of 2224242141 in words is "two billion, two hundred twenty-four million, two hundred forty-two thousand, one hundred forty-one".

Divisors: 1 3 11 17 33 51 187 561 599 1797 6589 6619 10183 19767 19857 30549 72809 112013 112523 218427 336039 337569 1237753 3713259 3964781 11894343 43612591 67401277 130837773 202203831 741414047 2224242141