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225055225 = 5229535857
BaseRepresentation
bin11010110101000…
…01000111111001
3120200110222201201
431122201013321
5430103231400
634155414201
75401636453
oct1532410771
9520428651
10225055225
1110604635a
1263454361
133781a695
1421c652d3
1514b5806a
hexd6a11f9

225055225 has 24 divisors (see below), whose sum is σ = 294188760. Its totient is φ = 170526720.

The previous prime is 225055217. The next prime is 225055267. The reversal of 225055225 is 522550522.

It can be written as a sum of positive squares in 12 ways, for example, as 3968064 + 221087161 = 1992^2 + 14869^2 .

It is not a de Polignac number, because 225055225 - 23 = 225055217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 225055193 and 225055202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35497 + ... + 41353.

It is an arithmetic number, because the mean of its divisors is an integer number (12257865).

Almost surely, 2225055225 is an apocalyptic number.

225055225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

225055225 is a deficient number, since it is larger than the sum of its proper divisors (69133535).

225055225 is a wasteful number, since it uses less digits than its factorization.

225055225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5949 (or 5944 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 28.

The square root of 225055225 is about 15001.8407203916. The cubic root of 225055225 is about 608.2699569097.

It can be divided in two parts, 22505 and 5225, that added together give a triangular number (27730 = T235).

The spelling of 225055225 in words is "two hundred twenty-five million, fifty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 29 53 145 265 725 1325 1537 5857 7685 29285 38425 146425 169853 310421 849265 1552105 4246325 7760525 9002209 45011045 225055225