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23116405 = 5132291553
BaseRepresentation
bin101100000101…
…1101001110101
31121111102202011
41120023221311
521404211110
62143244221
7400325524
oct130135165
947442664
1023116405
1112059774
1278a9671
134a34a60
1430da4bb
15206948a
hex160ba75

23116405 has 16 divisors (see below), whose sum is σ = 30023280. Its totient is φ = 16985088.

The previous prime is 23116367. The next prime is 23116409. The reversal of 23116405 is 50461132.

It can be written as a sum of positive squares in 8 ways, for example, as 1270129 + 21846276 = 1127^2 + 4674^2 .

It is a cyclic number.

It is not a de Polignac number, because 23116405 - 29 = 23115893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23116409) 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 15 ways as a sum of consecutive naturals, for example, 14109 + ... + 15661.

It is an arithmetic number, because the mean of its divisors is an integer number (1876455).

Almost surely, 223116405 is an apocalyptic number.

It is an amenable number.

23116405 is a deficient number, since it is larger than the sum of its proper divisors (6906875).

23116405 is a wasteful number, since it uses less digits than its factorization.

23116405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 23116405 is about 4807.9522668180. The cubic root of 23116405 is about 284.8656594723.

Adding to 23116405 its reverse (50461132), we get a palindrome (73577537).

The spelling of 23116405 in words is "twenty-three million, one hundred sixteen thousand, four hundred five".

Divisors: 1 5 13 65 229 1145 1553 2977 7765 14885 20189 100945 355637 1778185 4623281 23116405