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230888025 = 325210132
BaseRepresentation
bin11011100001100…
…01001001011001
3121002110022211100
431300301021121
5433101404100
634524422013
75502341634
oct1560611131
9532408740
10230888025
1110936a655
12653a7909
1338ab0544
1422942c1b
151540b400
hexdc31259

230888025 has 27 divisors (see below), whose sum is σ = 413954749. Its totient is φ = 123018720.

The previous prime is 230888011. The next prime is 230888039. The reversal of 230888025 is 520888032.

The square root of 230888025 is 15195.

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

It is an interprime number because it is at equal distance from previous prime (230888011) and next prime (230888039).

It can be written as a sum of positive squares in 4 ways, for example, as 137804121 + 93083904 = 11739^2 + 9648^2 .

It is not a de Polignac number, because 230888025 - 29 = 230887513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 227419 + ... + 228431.

Almost surely, 2230888025 is an apocalyptic number.

230888025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

230888025 is the 15195-th square number.

230888025 is the 7598-th centered octagonal number.

It is an amenable number.

230888025 is a deficient number, since it is larger than the sum of its proper divisors (183066724).

230888025 is an equidigital number, since it uses as much as digits as its factorization.

230888025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The cubic root of 230888025 is about 613.4800857551.

Multiplying 230888025 by its sum of digits (36), we get a square (8311968900 = 911702).

It can be divided in two parts, 23088 and 8025, that added together give a palindrome (31113).

The spelling of 230888025 in words is "two hundred thirty million, eight hundred eighty-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1013 3039 5065 9117 15195 25325 45585 75975 227925 1026169 3078507 5130845 9235521 15392535 25654225 46177605 76962675 230888025