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225126126 = 23227294583
BaseRepresentation
bin11010110101100…
…10011011101110
3120200121120222200
431122302123232
5430113014001
634201122330
75402353251
oct1532623356
9520546880
10225126126
11106094655
12634893a6
1337843a34
1421c83098
1514b6e086
hexd6b26ee

225126126 has 24 divisors (see below), whose sum is σ = 488058480. Its totient is φ = 74998176.

The previous prime is 225126073. The next prime is 225126127. The reversal of 225126126 is 621621522.

225126126 is a `hidden beast` number, since 22 + 512 + 6 + 126 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 225126126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225126127) 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, 46831 + ... + 51413.

It is an arithmetic number, because the mean of its divisors is an integer number (20335770).

Almost surely, 2225126126 is an apocalyptic number.

225126126 is an abundant number, since it is smaller than the sum of its proper divisors (262932354).

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

225126126 is a wasteful number, since it uses less digits than its factorization.

225126126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7320 (or 7317 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 225126126 is about 15004.2036109885. The cubic root of 225126126 is about 608.3338263001. Note that the first 3 decimals are identical.

Adding to 225126126 its reverse (621621522), we get a palindrome (846747648).

The spelling of 225126126 in words is "two hundred twenty-five million, one hundred twenty-six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 2729 4583 5458 8187 9166 13749 16374 24561 27498 41247 49122 82494 12507007 25014014 37521021 75042042 112563063 225126126