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20224113 = 3721319557
BaseRepresentation
bin100110100100…
…1100001110001
31102001111021020
41031021201301
520134132423
62001250053
7333621300
oct115114161
942044236
1020224113
1110463748
126933929
134261440
142986437
151b974e3
hex1349871

20224113 has 48 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 10088064.

The previous prime is 20224091. The next prime is 20224117. The reversal of 20224113 is 31142202.

20224113 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 20224113 - 25 = 20224081 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20224092 and 20224101.

It is not an unprimeable number, because it can be changed into a prime (20224117) 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 47 ways as a sum of consecutive naturals, for example, 36031 + ... + 36587.

It is an arithmetic number, because the mean of its divisors is an integer number (742140).

Almost surely, 220224113 is an apocalyptic number.

It is an amenable number.

20224113 is a deficient number, since it is larger than the sum of its proper divisors (15398607).

20224113 is a wasteful number, since it uses less digits than its factorization.

20224113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 20224113 is about 4497.1227468238. The cubic root of 20224113 is about 272.4518917401.

Adding to 20224113 its reverse (31142202), we get a palindrome (51366315).

The spelling of 20224113 in words is "twenty million, two hundred twenty-four thousand, one hundred thirteen".

Divisors: 1 3 7 13 19 21 39 49 57 91 133 147 247 273 399 557 637 741 931 1671 1729 1911 2793 3899 5187 7241 10583 11697 12103 21723 27293 31749 36309 50687 74081 81879 137579 152061 222243 354809 412737 518567 963053 1064427 1555701 2889159 6741371 20224113