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22381768409 = 71113191176811
BaseRepresentation
bin10100110110000011…
…101010111011011001
32010202211020122021112
4110312003222323121
5331314213042114
614140530550105
71421432615060
oct246603527331
963684218245
1022381768409
119545a19970
124407738335
132158c7c060
14112475b1d7
158aede013e
hex5360eaed9

22381768409 has 32 divisors (see below), whose sum is σ = 31632706560. Its totient is φ = 15251457600.

The previous prime is 22381768373. The next prime is 22381768429. The reversal of 22381768409 is 90486718322.

It is a cyclic number.

It is not a de Polignac number, because 22381768409 - 216 = 22381702873 is a prime.

It is a super-2 number, since 2×223817684092 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22381768429) 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 31 ways as a sum of consecutive naturals, for example, 569387 + ... + 607424.

It is an arithmetic number, because the mean of its divisors is an integer number (988522080).

Almost surely, 222381768409 is an apocalyptic number.

It is an amenable number.

22381768409 is a deficient number, since it is larger than the sum of its proper divisors (9250938151).

22381768409 is a wasteful number, since it uses less digits than its factorization.

22381768409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176861.

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 22381768409 in words is "twenty-two billion, three hundred eighty-one million, seven hundred sixty-eight thousand, four hundred nine".

Divisors: 1 7 11 13 19 77 91 133 143 209 247 1001 1463 1729 2717 19019 1176811 8237677 12944921 15298543 22359409 90614447 107089801 156515863 168283973 245953499 290672317 1177987811 1721674493 2034706219 3197395487 22381768409