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225238125 = 35471312
BaseRepresentation
bin11010110110011…
…01110001101101
3120200211021121210
431123031301231
5430130110000
634203345033
75403330630
oct1533156155
9520737553
10225238125
11106160812
1263522179
13378829c8
1421cb1c17
1514b92350
hexd6cdc6d

225238125 has 60 divisors (see below), whose sum is σ = 432186656. Its totient is φ = 102180000.

The previous prime is 225238109. The next prime is 225238159. The reversal of 225238125 is 521832522.

225238125 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 225238125 - 24 = 225238109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 225238092 and 225238101.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1719310 + ... + 1719440.

Almost surely, 2225238125 is an apocalyptic number.

225238125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

225238125 is a deficient number, since it is larger than the sum of its proper divisors (206948531).

225238125 is an frugal number, since it uses more digits than its factorization.

225238125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 146 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 225238125 is about 15007.9354009804. The cubic root of 225238125 is about 608.4346904779.

The spelling of 225238125 in words is "two hundred twenty-five million, two hundred thirty-eight thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 131 175 375 393 525 625 655 875 917 1875 1965 2625 2751 3275 4375 4585 9825 13125 13755 16375 17161 22925 49125 51483 68775 81875 85805 114625 120127 245625 257415 343875 360381 429025 573125 600635 1287075 1719375 1801905 2145125 3003175 6435375 9009525 10725625 15015875 32176875 45047625 75079375 225238125