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305272225 = 5289137201
BaseRepresentation
bin10010001100100…
…001010110100001
3210021102102202201
4102030201112201
51111122202400
650143013201
710364525326
oct2214412641
9707372681
10305272225
111473555a5
128629a201
134b32576b
142c786b4d
151bc0106a
hex123215a1

305272225 has 12 divisors (see below), whose sum is σ = 382793580. Its totient is φ = 241472000.

The previous prime is 305272211. The next prime is 305272271. The reversal of 305272225 is 522272503.

It can be written as a sum of positive squares in 6 ways, for example, as 87385104 + 217887121 = 9348^2 + 14761^2 .

It is not a de Polignac number, because 305272225 - 29 = 305271713 is a prime.

It is a super-2 number, since 2×3052722252 = 186382262712901250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 305272193 and 305272202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66376 + ... + 70825.

It is an arithmetic number, because the mean of its divisors is an integer number (31899465).

Almost surely, 2305272225 is an apocalyptic number.

It is an amenable number.

305272225 is a deficient number, since it is larger than the sum of its proper divisors (77521355).

305272225 is a wasteful number, since it uses less digits than its factorization.

305272225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137300 (or 137295 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 305272225 is about 17472.0412373598. The cubic root of 305272225 is about 673.3317560061.

The spelling of 305272225 in words is "three hundred five million, two hundred seventy-two thousand, two hundred twenty-five".

Divisors: 1 5 25 89 445 2225 137201 686005 3430025 12210889 61054445 305272225