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204012225 = 32527331237
BaseRepresentation
bin11000010100011…
…11101011000001
3112012212220011100
430022033223001
5404211342400
632124405013
75025034554
oct1412175301
9465786140
10204012225
11a518344a
12583a6769
13333605c1
141d14869b
1512d9d100
hexc28fac1

204012225 has 36 divisors (see below), whose sum is σ = 366202876. Its totient is φ = 108570240.

The previous prime is 204012199. The next prime is 204012229. The reversal of 204012225 is 522210402.

It can be written as a sum of positive squares in 6 ways, for example, as 19079424 + 184932801 = 4368^2 + 13599^2 .

It is not a de Polignac number, because 204012225 - 27 = 204012097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 204012198 and 204012207.

It is not an unprimeable number, because it can be changed into a prime (204012229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164307 + ... + 165543.

Almost surely, 2204012225 is an apocalyptic number.

204012225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

204012225 is a deficient number, since it is larger than the sum of its proper divisors (162190651).

204012225 is a wasteful number, since it uses less digits than its factorization.

204012225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 204012225 is about 14283.2848112750. The cubic root of 204012225 is about 588.6882905557.

Adding to 204012225 its reverse (522210402), we get a palindrome (726222627).

The spelling of 204012225 in words is "two hundred four million, twelve thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 733 1237 2199 3665 3711 6185 6597 10995 11133 18325 18555 30925 32985 54975 55665 92775 164925 278325 906721 2720163 4533605 8160489 13600815 22668025 40802445 68004075 204012225