Search a number
-
+
21823116 = 2237614259
BaseRepresentation
bin101001100111…
…1111010001100
31112001201200120
41103033322030
521041314431
62055424540
7353331150
oct123177214
945051616
1021823116
1111356037
127385150
1346a11b3
142c81060
151db1196
hex14cfe8c

21823116 has 48 divisors (see below), whose sum is σ = 59162880. Its totient is φ = 6131520.

The previous prime is 21823103. The next prime is 21823117. The reversal of 21823116 is 61132812.

It is a super-3 number, since 3×218231163 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21823117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2995 + ... + 7253.

It is an arithmetic number, because the mean of its divisors is an integer number (1232560).

Almost surely, 221823116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21823116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29581440).

21823116 is an abundant number, since it is smaller than the sum of its proper divisors (37339764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21823116 is a wasteful number, since it uses less digits than its factorization.

21823116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 4332 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 21823116 is about 4671.5218077196. The cubic root of 21823116 is about 279.4509478767.

Adding to 21823116 its reverse (61132812), we get a palindrome (82955928).

The spelling of 21823116 in words is "twenty-one million, eight hundred twenty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1281 1708 2562 4259 5124 8518 12777 17036 25554 29813 51108 59626 89439 119252 178878 259799 357756 519598 779397 1039196 1558794 1818593 3117588 3637186 5455779 7274372 10911558 21823116