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230433601225 = 521923121632
BaseRepresentation
bin1101011010011011101…
…0011011011011001001
3211000210022110210221011
43112212322123123021
512233412000214400
6253505411443521
722435234202242
oct3264672333311
9730708423834
10230433601225
11897a9840253
12387ab8b65a1
131896448ba39
14b21dd59cc9
155eda19c8ba
hex35a6e9b6c9

230433601225 has 81 divisors (see below), whose sum is σ = 313533258759. Its totient is φ = 167973847200.

The previous prime is 230433601207. The next prime is 230433601283. The reversal of 230433601225 is 522106334032.

The square root of 230433601225 is 480035.

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

It can be written as a sum of positive squares in only one way, i.e., 82956096441 + 147477504784 = 288021^2 + 384028^2 .

It is not a de Polignac number, because 230433601225 - 211 = 230433599177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1413702994 + ... + 1413703156.

Almost surely, 2230433601225 is an apocalyptic number.

230433601225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

230433601225 is the 480035-th square number.

230433601225 is the 240018-th centered octagonal number.

It is an amenable number.

230433601225 is a deficient number, since it is larger than the sum of its proper divisors (83099657534).

230433601225 is an equidigital number, since it uses as much as digits as its factorization.

230433601225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 230433601225 its reverse (522106334032), we get a palindrome (752539935257).

The spelling of 230433601225 in words is "two hundred thirty billion, four hundred thirty-three million, six hundred one thousand, two hundred twenty-five".

Divisors: 1 5 19 25 31 95 155 163 361 475 589 775 815 961 1805 2945 3097 4075 4805 5053 9025 11191 14725 15485 18259 24025 25265 26569 55955 58843 77425 91295 96007 126325 132845 156643 279775 294215 346921 456475 480035 504811 664225 783215 823639 1471075 1734605 1824133 2400175 2524055 2976217 3916075 4118195 8673025 9120665 9591409 12620275 14881085 15649141 20590975 25532809 45603325 47957045 56548123 74405425 78245705 127664045 239785225 282740615 297333679 391228525 485123371 638320225 1413703075 1486668395 2425616855 7433341975 9217344049 12128084275 46086720245 230433601225