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230147325 = 3452891277
BaseRepresentation
bin11011011011111…
…00010011111101
3121001001200210000
431231330103331
5432404203300
634500504513
75463135312
oct1555742375
9531050700
10230147325
11108a04101
12650ab139
13388b1365
14227ccd09
1515311c00
hexdb7c4fd

230147325 has 60 divisors (see below), whose sum is σ = 431440020. Its totient is φ = 121271040.

The previous prime is 230147311. The next prime is 230147329. The reversal of 230147325 is 523741032.

It can be written as a sum of positive squares in 6 ways, for example, as 11758041 + 218389284 = 3429^2 + 14778^2 .

It is not a de Polignac number, because 230147325 - 25 = 230147293 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230147329) 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 59 ways as a sum of consecutive naturals, for example, 179587 + ... + 180863.

It is an arithmetic number, because the mean of its divisors is an integer number (7190667).

Almost surely, 2230147325 is an apocalyptic number.

230147325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

230147325 is a deficient number, since it is larger than the sum of its proper divisors (201292695).

230147325 is a wasteful number, since it uses less digits than its factorization.

230147325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 230147325 is about 15170.6072719585. The cubic root of 230147325 is about 612.8233583438.

Adding to 230147325 its reverse (523741032), we get a palindrome (753888357).

The spelling of 230147325 in words is "two hundred thirty million, one hundred forty-seven thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 89 135 225 267 405 445 675 801 1277 1335 2025 2225 2403 3831 4005 6385 6675 7209 11493 12015 19155 20025 31925 34479 36045 57465 60075 95775 103437 113653 172395 180225 287325 340959 517185 568265 861975 1022877 1704795 2585925 2841325 3068631 5114385 8523975 9205893 15343155 25571925 46029465 76715775 230147325