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235224046053 = 32409521122653
BaseRepresentation
bin1101101100010001110…
…0100001100111100101
3211111011011112121211200
43123010130201213211
512323214323433203
6300021015353113
722665033254553
oct3330434414745
9744134477750
10235224046053
1190837929367
1239708082799
1319248a99089
14b55626cbd3
1561baa0d9a3
hex36c47219e5

235224046053 has 24 divisors (see below), whose sum is σ = 341255318040. Its totient is φ = 156131089920.

The previous prime is 235224046037. The next prime is 235224046073. The reversal of 235224046053 is 350640422532.

235224046053 is a `hidden beast` number, since 2 + 3 + 5 + 2 + 2 + 40 + 4 + 605 + 3 = 666.

235224046053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16169156964 + 219054889089 = 127158^2 + 468033^2 .

It is not a de Polignac number, because 235224046053 - 24 = 235224046037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 235224045999 and 235224046017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235224046073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1856475 + ... + 1979127.

It is an arithmetic number, because the mean of its divisors is an integer number (14218971585).

Almost surely, 2235224046053 is an apocalyptic number.

It is an amenable number.

235224046053 is a deficient number, since it is larger than the sum of its proper divisors (106031271987).

235224046053 is a wasteful number, since it uses less digits than its factorization.

235224046053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123589 (or 123586 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 235224046053 its reverse (350640422532), we get a palindrome (585864468585).

The spelling of 235224046053 in words is "two hundred thirty-five billion, two hundred twenty-four million, forty-six thousand, fifty-three".

Divisors: 1 3 9 409 521 1227 1563 3681 4689 122653 213089 367959 639267 1103877 1917801 50165077 63902213 150495231 191706639 451485693 575119917 26136005117 78408015351 235224046053