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224310213 = 32199125243
BaseRepresentation
bin11010101111010…
…11001111000101
3120122002010202200
431113223033011
5424410411323
634131425113
75362414431
oct1527531705
9518063680
10224310213
11105687646
1263155199
133761954a
1421b0d9c1
1514a5c443
hexd5eb3c5

224310213 has 12 divisors (see below), whose sum is σ = 325634400. Its totient is φ = 148787496.

The previous prime is 224310211. The next prime is 224310241. The reversal of 224310213 is 312013422.

224310213 is a `hidden beast` number, since 22 + 431 + 0 + 213 = 666.

It is not a de Polignac number, because 224310213 - 21 = 224310211 is a prime.

It is a super-2 number, since 2×2243102132 = 100630143312210738, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224310211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60831 + ... + 64412.

It is an arithmetic number, because the mean of its divisors is an integer number (27136200).

Almost surely, 2224310213 is an apocalyptic number.

It is an amenable number.

224310213 is a deficient number, since it is larger than the sum of its proper divisors (101324187).

224310213 is a wasteful number, since it uses less digits than its factorization.

224310213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125448 (or 125445 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 224310213 is about 14976.9894504870. The cubic root of 224310213 is about 607.5980190364.

Adding to 224310213 its reverse (312013422), we get a palindrome (536323635).

The spelling of 224310213 in words is "two hundred twenty-four million, three hundred ten thousand, two hundred thirteen".

Divisors: 1 3 9 199 597 1791 125243 375729 1127187 24923357 74770071 224310213