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225668214 = 2334397187
BaseRepresentation
bin11010111001101…
…10110001110110
3120201122010121000
431130312301312
5430232340324
634220504130
75410101552
oct1534666166
9521563530
10225668214
11106424962
12636ab046
13379a36b5
1421d84862
1514c299c9
hexd736c76

225668214 has 32 divisors (see below), whose sum is σ = 513152640. Its totient is φ = 73472616.

The previous prime is 225668213. The next prime is 225668221. The reversal of 225668214 is 412866522.

It is a happy number.

225668214 is a `hidden beast` number, since 2 + 2 + 566 + 82 + 14 = 666.

It is a super-2 number, since 2×2256682142 = 101852285619899592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225668213) 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 15 ways as a sum of consecutive naturals, for example, 46272 + ... + 50915.

It is an arithmetic number, because the mean of its divisors is an integer number (16036020).

Almost surely, 2225668214 is an apocalyptic number.

225668214 is an abundant number, since it is smaller than the sum of its proper divisors (287484426).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225668214 is a wasteful number, since it uses less digits than its factorization.

225668214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97241 (or 97235 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 225668214 is about 15022.2572871057. The cubic root of 225668214 is about 608.8217100456.

The spelling of 225668214 in words is "two hundred twenty-five million, six hundred sixty-eight thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 2322 97187 194374 291561 583122 874683 1749366 2624049 4179041 5248098 8358082 12537123 25074246 37611369 75222738 112834107 225668214