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6233260401 = 32263172
BaseRepresentation
bin1011100111000100…
…00000000101110001
3121002101222102210100
411303202000011301
5100231203313101
62510304223013
7310315560564
oct56342000561
917071872710
106233260401
112709570885
12125b60aa69
137844ca084
14431bac4db
15267361e86
hex173880171

6233260401 has 9 divisors (see below), whose sum is σ = 9003940491. Its totient is φ = 4155349032.

The previous prime is 6233260357. The next prime is 6233260421. The reversal of 6233260401 is 1040623326.

The square root of 6233260401 is 78951.

It is a perfect power (a square), and thus also a powerful number.

6233260401 is a `hidden beast` number, since 6 + 23 + 32 + 604 + 0 + 1 = 666.

6233260401 is digitally balanced in base 3, 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 only one way, i.e., 4012589025 + 2220671376 = 63345^2 + 47124^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 6233260401 - 225 = 6199705969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6233260421) 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 8 ways as a sum of consecutive naturals, for example, 223695 + ... + 250011.

Almost surely, 26233260401 is an apocalyptic number.

6233260401 is the 78951-st square number.

6233260401 is the 39476-th centered octagonal number.

It is an amenable number.

6233260401 is a deficient number, since it is larger than the sum of its proper divisors (2770680090).

6233260401 is an frugal number, since it uses more digits than its factorization.

6233260401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52640 (or 26320 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The cubic root of 6233260401 is about 1840.3697666799.

Multiplying 6233260401 by its product of nonzero digits (5184), we get a square (32313221918784 = 56844722).

Adding to 6233260401 its reverse (1040623326), we get a palindrome (7273883727).

The spelling of 6233260401 in words is "six billion, two hundred thirty-three million, two hundred sixty thousand, four hundred one".

Divisors: 1 3 9 26317 78951 236853 692584489 2077753467 6233260401