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225152505 = 32517294317
BaseRepresentation
bin11010110101110…
…00110111111001
3120200122221011200
431122320313321
5430114340010
634201444413
75402523204
oct1532706771
9520587150
10225152505
11106102456
12634a0709
1337852a46
1421c8c93b
1514b76cc0
hexd6b8df9

225152505 has 24 divisors (see below), whose sum is σ = 413222472. Its totient is φ = 113017344.

The previous prime is 225152453. The next prime is 225152509. The reversal of 225152505 is 505251522.

225152505 is a `hidden beast` number, since 2 + 2 + 5 + 152 + 505 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20548089 + 204604416 = 4533^2 + 14304^2 .

It is not a de Polignac number, because 225152505 - 27 = 225152377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225152509) 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, 146394 + ... + 147923.

It is an arithmetic number, because the mean of its divisors is an integer number (17217603).

Almost surely, 2225152505 is an apocalyptic number.

It is an amenable number.

225152505 is a deficient number, since it is larger than the sum of its proper divisors (188069967).

225152505 is a wasteful number, since it uses less digits than its factorization.

225152505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294345 (or 294342 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 225152505 is about 15005.0826388927. The cubic root of 225152505 is about 608.3575857390.

It can be divided in two parts, 2251 and 52505, that added together give a square (54756 = 2342).

The spelling of 225152505 in words is "two hundred twenty-five million, one hundred fifty-two thousand, five hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 294317 882951 1471585 2648853 4414755 5003389 13244265 15010167 25016945 45030501 75050835 225152505