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230605251525 = 325211229292081
BaseRepresentation
bin1101011011000100100…
…1001110001111000101
3211001020021110112212200
43112301021032033011
512234234421022100
6253534422505113
722442420203365
oct3266111161705
9731207415780
10230605251525
118988771a700
1238839295199
1318990bcb26c
14b238a7c9a5
155eea2a6e00
hex35b124e3c5

230605251525 has 108 divisors (see below), whose sum is σ = 469659093540. Its totient is φ = 107952768000.

The previous prime is 230605251521. The next prime is 230605251529. The reversal of 230605251525 is 525152506032.

230605251525 is a `hidden beast` number, since 2 + 3 + 0 + 605 + 25 + 1 + 5 + 25 = 666.

230605251525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230605251521) and next prime (230605251529).

It can be written as a sum of positive squares in 6 ways, for example, as 39965607396 + 190639644129 = 199914^2 + 436623^2 .

It is not a de Polignac number, because 230605251525 - 22 = 230605251521 is a prime.

It is a super-3 number, since 3×2306052515253 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230605251525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230605251521) 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 107 ways as a sum of consecutive naturals, for example, 643485 + ... + 935565.

Almost surely, 2230605251525 is an apocalyptic number.

230605251525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

230605251525 is an abundant number, since it is smaller than the sum of its proper divisors (239053842015).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230605251525 is a wasteful number, since it uses less digits than its factorization.

230605251525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292148 (or 292129 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 230605251525 its reverse (525152506032), we get a palindrome (755757757557).

The spelling of 230605251525 in words is "two hundred thirty billion, six hundred five million, two hundred fifty-one thousand, five hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 29 33 45 55 75 87 99 121 145 165 225 261 275 319 363 435 495 605 725 825 957 1089 1305 1595 1815 2175 2475 2871 3025 3509 4785 5445 6525 7975 9075 10527 14355 17545 23925 27225 31581 52635 71775 87725 157905 263175 292081 789525 876243 1460405 2628729 3212891 4381215 7302025 8470349 9638673 13143645 16064455 21906075 25411047 28916019 35341801 42351745 48193365 65718225 76233141 80322275 93173839 106025403 127055235 144580095 176709005 211758725 240966825 279521517 318076209 381165705 465869195 530127015 635276175 722900475 838564551 883545025 1024912229 1397607585 1590381045 1905828525 2329345975 2650635075 3074736687 4192822755 5124561145 6988037925 7951905225 9224210061 15373683435 20964113775 25622805725 46121050305 76868417175 230605251525