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225125225 = 5213709977
BaseRepresentation
bin11010110101100…
…10001101101001
3120200121112202022
431122302031221
5430113001400
634201114225
75402350523
oct1532621551
9520545668
10225125225
11106093a06
1263488975
13378434c0
1421c82a13
1514b6db85
hexd6b2369

225125225 has 24 divisors (see below), whose sum is σ = 301360920. Its totient is φ = 165841920.

The previous prime is 225125189. The next prime is 225125227. The reversal of 225125225 is 522521522.

225125225 = T129 + T130 + ... + T1105.

It can be written as a sum of positive squares in 12 ways, for example, as 87086224 + 138039001 = 9332^2 + 11749^2 .

It is not a de Polignac number, because 225125225 - 212 = 225121129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 225125194 and 225125203.

It is not an unprimeable number, because it can be changed into a prime (225125227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229937 + ... + 230913.

It is an arithmetic number, because the mean of its divisors is an integer number (12556705).

Almost surely, 2225125225 is an apocalyptic number.

225125225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

225125225 is a deficient number, since it is larger than the sum of its proper divisors (76235695).

225125225 is a wasteful number, since it uses less digits than its factorization.

225125225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1704 counting only the distinct ones).

The product of its digits is 4000, while the sum is 26.

The square root of 225125225 is about 15004.1735860393. The cubic root of 225125225 is about 608.3330147410. Note that the first 3 decimals are identical.

Adding to 225125225 its reverse (522521522), we get a palindrome (747646747).

The spelling of 225125225 in words is "two hundred twenty-five million, one hundred twenty-five thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 325 709 977 3545 4885 9217 12701 17725 24425 46085 63505 230425 317525 692693 3463465 9005009 17317325 45025045 225125225