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2224211041 = 131910198837
BaseRepresentation
bin1000010010010010…
…1100010001100001
312202000020121221201
42010210230101201
514023344223131
61004412321201
7106055324203
oct20444542141
95660217851
102224211041
11a41566748
12520a73201
13295a5a710
14171580773
15d0400761
hex8492c461

2224211041 has 16 divisors (see below), whose sum is σ = 2524132800. Its totient is φ = 1942930368.

The previous prime is 2224211023. The next prime is 2224211047. The reversal of 2224211041 is 1401124222.

It is a cyclic number.

It is not a de Polignac number, because 2224211041 - 211 = 2224208993 is a prime.

It is a super-3 number, since 3×22242110413 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2224211047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247275 + ... + 256111.

It is an arithmetic number, because the mean of its divisors is an integer number (157758300).

Almost surely, 22224211041 is an apocalyptic number.

It is an amenable number.

2224211041 is a deficient number, since it is larger than the sum of its proper divisors (299921759).

2224211041 is a wasteful number, since it uses less digits than its factorization.

2224211041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9888.

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2224211041 is about 47161.5419701265. The cubic root of 2224211041 is about 1305.3450624247.

Adding to 2224211041 its reverse (1401124222), we get a palindrome (3625335263).

The spelling of 2224211041 in words is "two billion, two hundred twenty-four million, two hundred eleven thousand, forty-one".

Divisors: 1 13 19 247 1019 8837 13247 19361 114881 167903 251693 2182739 9004903 117063739 171093157 2224211041