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225300213 = 3225033357
BaseRepresentation
bin11010110110111…
…00111011110101
3120200221102210100
431123130323311
5430134101323
634204544313
75404006635
oct1533347365
9520842710
10225300213
111061a3426
1263552099
13378a5048
1421cca6c5
1514ba5943
hexd6dcef5

225300213 has 6 divisors (see below), whose sum is σ = 325433654. Its totient is φ = 150200136.

The previous prime is 225300211. The next prime is 225300221. The reversal of 225300213 is 312003522.

It can be written as a sum of positive squares in only one way, i.e., 222666084 + 2634129 = 14922^2 + 1623^2 .

It is not a de Polignac number, because 225300213 - 21 = 225300211 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225300211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12516670 + ... + 12516687.

Almost surely, 2225300213 is an apocalyptic number.

It is an amenable number.

225300213 is a deficient number, since it is larger than the sum of its proper divisors (100133441).

225300213 is a wasteful number, since it uses less digits than its factorization.

225300213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25033363 (or 25033360 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 225300213 is about 15010.0037641568. The cubic root of 225300213 is about 608.4905913495.

Adding to 225300213 its reverse (312003522), we get a palindrome (537303735).

The spelling of 225300213 in words is "two hundred twenty-five million, three hundred thousand, two hundred thirteen".

Divisors: 1 3 9 25033357 75100071 225300213