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225152768 = 285571579
BaseRepresentation
bin11010110101110…
…00111100000000
3120200122221112102
431122320330000
5430114342033
634201445532
75402524031
oct1532707400
9520587472
10225152768
11106102675
12634a08a8
1337852bb9
1421c8ca88
1514b76de8
hexd6b8f00

225152768 has 36 divisors (see below), whose sum is σ = 450518040. Its totient is φ = 112303104.

The previous prime is 225152749. The next prime is 225152797. The reversal of 225152768 is 867251522.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 141803 + ... + 143381.

It is an arithmetic number, because the mean of its divisors is an integer number (12514390).

Almost surely, 2225152768 is an apocalyptic number.

It is an amenable number.

225152768 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

225152768 is an equidigital number, since it uses as much as digits as its factorization.

225152768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2138 counting only the distinct ones).

The product of its digits is 67200, while the sum is 38.

The square root of 225152768 is about 15005.0914025873. The cubic root of 225152768 is about 608.3578226125.

The spelling of 225152768 in words is "two hundred twenty-five million, one hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 557 1114 1579 2228 3158 4456 6316 8912 12632 17824 25264 35648 50528 71296 101056 142592 202112 404224 879503 1759006 3518012 7036024 14072048 28144096 56288192 112576384 225152768