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22340334321 = 3217732000209
BaseRepresentation
bin10100110011100101…
…100111001011110001
32010122221021120101200
4110303211213023301
5331223111144241
614132450521413
71420420465014
oct246345471361
963587246350
1022340334321
119524599918
1243b5896269
132150502846
14111d05337b
158ab4584b6
hex5339672f1

22340334321 has 24 divisors (see below), whose sum is σ = 34635636360. Its totient is φ = 13825437696.

The previous prime is 22340334299. The next prime is 22340334371. The reversal of 22340334321 is 12343304322.

22340334321 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 0 + 334 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3223400625 + 19116933696 = 56775^2 + 138264^2 .

It is not a de Polignac number, because 22340334321 - 218 = 22340072177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22340334371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 988936 + ... + 1011273.

It is an arithmetic number, because the mean of its divisors is an integer number (1443151515).

Almost surely, 222340334321 is an apocalyptic number.

It is an amenable number.

22340334321 is a deficient number, since it is larger than the sum of its proper divisors (12295302039).

22340334321 is a wasteful number, since it uses less digits than its factorization.

22340334321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000305 (or 2000302 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 22340334321 its reverse (12343304322), we get a palindrome (34683638643).

The spelling of 22340334321 in words is "twenty-two billion, three hundred forty million, three hundred thirty-four thousand, three hundred twenty-one".

Divisors: 1 3 9 17 51 73 153 219 657 1241 3723 11169 2000209 6000627 18001881 34003553 102010659 146015257 306031977 438045771 1314137313 2482259369 7446778107 22340334321