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230153525 = 52723211271
BaseRepresentation
bin11011011011111…
…01110100110101
3121001002000021122
431231331310311
5432404403100
634500553325
75463162350
oct1555756465
9531060248
10230153525
11108a08828
12650b2845
13388b4124
14227d1297
1515313985
hexdb7dd35

230153525 has 48 divisors (see below), whose sum is σ = 343216128. Its totient is φ = 149688000.

The previous prime is 230153519. The next prime is 230153533. The reversal of 230153525 is 525351032.

It is not a de Polignac number, because 230153525 - 210 = 230152501 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 230153494 and 230153503.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 849140 + ... + 849410.

It is an arithmetic number, because the mean of its divisors is an integer number (7150336).

Almost surely, 2230153525 is an apocalyptic number.

230153525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

230153525 is a deficient number, since it is larger than the sum of its proper divisors (113062603).

230153525 is a wasteful number, since it uses less digits than its factorization.

230153525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 230153525 is about 15170.8116130944. The cubic root of 230153525 is about 612.8288612982.

The spelling of 230153525 in words is "two hundred thirty million, one hundred fifty-three thousand, five hundred twenty-five".

Divisors: 1 5 7 23 25 35 115 161 175 211 271 575 805 1055 1355 1477 1897 4025 4853 5275 6233 6775 7385 9485 24265 31165 33971 36925 43631 47425 57181 121325 155825 169855 218155 285905 400267 849275 1090775 1315163 1429525 2001335 6575815 9206141 10006675 32879075 46030705 230153525