Search a number
-
+
230052321225 = 32524124937921
BaseRepresentation
bin1101011001000000101…
…1111101011111001001
3210222210202000210002200
43112100023331133021
512232121343234400
6253403511350413
722422624315606
oct3262013753711
9728722023080
10230052321225
11896235a0a11
1238704082409
13189034a307c
14b1c54696ad
155eb6985b00
hex35902fd7c9

230052321225 has 36 divisors (see below), whose sum is σ = 422099267772. Its totient is φ = 119702016000.

The previous prime is 230052321209. The next prime is 230052321229. The reversal of 230052321225 is 522123250032.

230052321225 is a `hidden beast` number, since 2 + 300 + 5 + 232 + 122 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7770246201 + 222282075024 = 88149^2 + 471468^2 .

It is not a de Polignac number, because 230052321225 - 24 = 230052321209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230052321229) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12459736 + ... + 12478185.

Almost surely, 2230052321225 is an apocalyptic number.

230052321225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

230052321225 is a deficient number, since it is larger than the sum of its proper divisors (192046946547).

230052321225 is a wasteful number, since it uses less digits than its factorization.

230052321225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24937978 (or 24937970 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 230052321225 its reverse (522123250032), we get a palindrome (752175571257).

The spelling of 230052321225 in words is "two hundred thirty billion, fifty-two million, three hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 205 225 369 615 1025 1845 3075 9225 24937921 74813763 124689605 224441289 374068815 623448025 1022454761 1122206445 1870344075 3067364283 5112273805 5611032225 9202092849 15336821415 25561369025 46010464245 76684107075 230052321225