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225203201 = 3741532801
BaseRepresentation
bin11010110110001…
…01010000000001
3120200202111201022
431123011100001
5430123000301
634202515225
75403124046
oct1533052001
9520674638
10225203201
11106137553
1263505b15
133786cb42
1421ca31cd
1514b86d1b
hexd6c5401

225203201 has 16 divisors (see below), whose sum is σ = 241487568. Its totient is φ = 209664000.

The previous prime is 225203161. The next prime is 225203239. The reversal of 225203201 is 102302522.

It can be written as a sum of positive squares in 8 ways, for example, as 952576 + 224250625 = 976^2 + 14975^2 .

It is a cyclic number.

It is not a de Polignac number, because 225203201 - 214 = 225186817 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 225203201.

It is not an unprimeable number, because it can be changed into a prime (225203261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79001 + ... + 81801.

It is an arithmetic number, because the mean of its divisors is an integer number (15092973).

Almost surely, 2225203201 is an apocalyptic number.

It is an amenable number.

225203201 is a deficient number, since it is larger than the sum of its proper divisors (16284367).

225203201 is a wasteful number, since it uses less digits than its factorization.

225203201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932.

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 225203201 is about 15006.7718380736. The cubic root of 225203201 is about 608.4032421733.

Adding to 225203201 its reverse (102302522), we get a palindrome (327505723).

The spelling of 225203201 in words is "two hundred twenty-five million, two hundred three thousand, two hundred one".

Divisors: 1 37 41 53 1517 1961 2173 2801 80401 103637 114841 148453 4249117 5492761 6086573 225203201