Search a number
-
+
223440021 = 32747591279
BaseRepresentation
bin11010101000101…
…10110010010101
3120120102221002100
431110112302111
5424200040041
634101032313
75352131430
oct1524266225
9516387070
10223440021
11105142882
12629b5699
13373a343c
1421964817
15149396b6
hexd516c95

223440021 has 48 divisors (see below), whose sum is σ = 383385600. Its totient is φ = 122749344.

The previous prime is 223440001. The next prime is 223440043. The reversal of 223440021 is 120044322.

223440021 is a `hidden beast` number, since 223 + 440 + 0 + 2 + 1 = 666.

223440021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 223440021 - 25 = 223439989 is a prime.

It is a super-3 number, since 3×2234400213 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223439976 and 223440003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223440001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174060 + ... + 175338.

It is an arithmetic number, because the mean of its divisors is an integer number (7987200).

Almost surely, 2223440021 is an apocalyptic number.

223440021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

223440021 is a deficient number, since it is larger than the sum of its proper divisors (159945579).

223440021 is a wasteful number, since it uses less digits than its factorization.

223440021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 223440021 is about 14947.9102552832. The cubic root of 223440021 is about 606.8112928883.

Adding to 223440021 its reverse (120044322), we get a palindrome (343484343).

The spelling of 223440021 in words is "two hundred twenty-three million, four hundred forty thousand, twenty-one".

Divisors: 1 3 7 9 21 47 59 63 141 177 329 413 423 531 987 1239 1279 2773 2961 3717 3837 8319 8953 11511 19411 24957 26859 58233 60113 75461 80577 174699 180339 226383 420791 528227 541017 679149 1262373 1584681 3546667 3787119 4754043 10640001 24826669 31920003 74480007 223440021