Search a number
-
+
12300225 = 352723347
BaseRepresentation
bin101110111010…
…111111000001
3212010220201220
4232322333001
511122101400
61115345253
7206356500
oct56727701
925126656
1012300225
116a41383
124152229
132718852
1418c2837
15112e7a0
hexbbafc1

12300225 has 36 divisors (see below), whose sum is σ = 23663664. Its totient is φ = 5621280.

The previous prime is 12300203. The next prime is 12300227. The reversal of 12300225 is 52200321.

It is not a de Polignac number, because 12300225 - 26 = 12300161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12300227) 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, 2002 + ... + 5348.

It is an arithmetic number, because the mean of its divisors is an integer number (657324).

Almost surely, 212300225 is an apocalyptic number.

12300225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12300225 is a deficient number, since it is larger than the sum of its proper divisors (11363439).

12300225 is a wasteful number, since it uses less digits than its factorization.

12300225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 12300225 is about 3507.1676606629. The cubic root of 12300225 is about 230.8364314974.

Adding to 12300225 its reverse (52200321), we get a palindrome (64500546).

The spelling of 12300225 in words is "twelve million, three hundred thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 245 525 735 1225 3347 3675 10041 16735 23429 50205 70287 83675 117145 164003 251025 351435 492009 585725 820015 1757175 2460045 4100075 12300225