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23824021 = 13172343109
BaseRepresentation
bin101101011100…
…0011010010101
31122211101102011
41122320122111
522044332041
62210344221
7406333534
oct132703225
948741364
1023824021
11124a2381
127b8b071
134c21b70
14324231b
152158e81
hex16b8695

23824021 has 32 divisors (see below), whose sum is σ = 29272320. Its totient is φ = 19160064.

The previous prime is 23824013. The next prime is 23824033. The reversal of 23824021 is 12042832.

It is a cyclic number.

It is not a de Polignac number, because 23824021 - 23 = 23824013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23823983 and 23824001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23824001) 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 31 ways as a sum of consecutive naturals, for example, 218515 + ... + 218623.

It is an arithmetic number, because the mean of its divisors is an integer number (914760).

Almost surely, 223824021 is an apocalyptic number.

It is an amenable number.

23824021 is a deficient number, since it is larger than the sum of its proper divisors (5448299).

23824021 is a wasteful number, since it uses less digits than its factorization.

23824021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 23824021 is about 4880.9856586554. The cubic root of 23824021 is about 287.7431681828.

Adding to 23824021 its reverse (12042832), we get a palindrome (35866853).

The spelling of 23824021 in words is "twenty-three million, eight hundred twenty-four thousand, twenty-one".

Divisors: 1 13 17 23 43 109 221 299 391 559 731 989 1417 1853 2507 4687 5083 9503 12857 16813 24089 32591 42619 60931 79679 107801 218569 554047 1035827 1401413 1832617 23824021