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225318375 = 3353101661
BaseRepresentation
bin11010110111000…
…01010111100111
3120200222100201000
431123201113213
5430140142000
634205204343
75404113612
oct1533412747
9520870630
10225318375
11106206037
12635606b3
13378b03a9
1421cd3179
1514bab000
hexd6e15e7

225318375 has 64 divisors (see below), whose sum is σ = 421349760. Its totient is φ = 118800000.

The previous prime is 225318319. The next prime is 225318377. The reversal of 225318375 is 573813522.

It is a happy number.

It is not a de Polignac number, because 225318375 - 26 = 225318311 is a prime.

It is a super-2 number, since 2×2253183752 = 101536740225281250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225318377) 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 63 ways as a sum of consecutive naturals, for example, 340545 + ... + 341205.

It is an arithmetic number, because the mean of its divisors is an integer number (6583590).

Almost surely, 2225318375 is an apocalyptic number.

225318375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

225318375 is a deficient number, since it is larger than the sum of its proper divisors (196031385).

225318375 is a wasteful number, since it uses less digits than its factorization.

225318375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 770 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 225318375 is about 15010.6087484819. The cubic root of 225318375 is about 608.5069415473.

The spelling of 225318375 in words is "two hundred twenty-five million, three hundred eighteen thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 101 125 135 225 303 375 505 661 675 909 1125 1515 1983 2525 2727 3305 3375 4545 5949 7575 9915 12625 13635 16525 17847 22725 29745 37875 49575 66761 68175 82625 89235 113625 148725 200283 247875 333805 340875 446175 600849 743625 1001415 1669025 1802547 2230875 3004245 5007075 8345125 9012735 15021225 25035375 45063675 75106125 225318375