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230001525 = 3452138737
BaseRepresentation
bin11011011010110…
…00101101110101
3121000210021210000
431231120231311
5432340022100
634453421513
75461660245
oct1555305565
9530707700
10230001525
11108914606
126503a899
133885cba0
1422791b25
15152d3900
hexdb58b75

230001525 has 60 divisors (see below), whose sum is σ = 458867332. Its totient is φ = 113218560.

The previous prime is 230001511. The next prime is 230001533. The reversal of 230001525 is 525100032.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 34644996 + 195356529 = 5886^2 + 13977^2 .

It is not a de Polignac number, because 230001525 - 213 = 229993333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 230001498 and 230001507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21957 + ... + 30693.

Almost surely, 2230001525 is an apocalyptic number.

230001525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

230001525 is a deficient number, since it is larger than the sum of its proper divisors (228865807).

230001525 is a wasteful number, since it uses less digits than its factorization.

230001525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8772 (or 8758 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 230001525 is about 15165.8011657809. The cubic root of 230001525 is about 612.6939216592.

Adding to 230001525 its reverse (525100032), we get a palindrome (755101557).

The spelling of 230001525 in words is "two hundred thirty million, one thousand, five hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 195 225 325 351 405 585 675 975 1053 1755 2025 2925 5265 8737 8775 26211 26325 43685 78633 113581 131055 218425 235899 340743 393165 567905 655275 707697 1022229 1179495 1703715 1965825 2839525 3066687 3538485 5111145 5897475 8518575 9200061 15333435 17692425 25555725 46000305 76667175 230001525