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252275225 = 52731371009
BaseRepresentation
bin11110000100101…
…10101000011001
3122120200220112212
433002112220121
51004040301400
641011044505
76152206166
oct1702265031
9576626485
10252275225
1111a448124
12705a0735
134035b1a7
142570d06d
1517233335
hexf096a19

252275225 has 24 divisors (see below), whose sum is σ = 319737720. Its totient is φ = 197406720.

The previous prime is 252275197. The next prime is 252275227. The reversal of 252275225 is 522572252.

It can be written as a sum of positive squares in 12 ways, for example, as 70241161 + 182034064 = 8381^2 + 13492^2 .

It is not a de Polignac number, because 252275225 - 28 = 252274969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252275191 and 252275200.

It is not an unprimeable number, because it can be changed into a prime (252275227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249521 + ... + 250529.

It is an arithmetic number, because the mean of its divisors is an integer number (13322405).

Almost surely, 2252275225 is an apocalyptic number.

252275225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252275225 is a deficient number, since it is larger than the sum of its proper divisors (67462495).

252275225 is a wasteful number, since it uses less digits than its factorization.

252275225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1224 counting only the distinct ones).

The product of its digits is 28000, while the sum is 32.

The square root of 252275225 is about 15883.1742734253. The cubic root of 252275225 is about 631.8658258470.

The spelling of 252275225 in words is "two hundred fifty-two million, two hundred seventy-five thousand, two hundred twenty-five".

Divisors: 1 5 25 73 137 365 685 1009 1825 3425 5045 10001 25225 50005 73657 138233 250025 368285 691165 1841425 3455825 10091009 50455045 252275225