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3205258225 = 52134672
BaseRepresentation
bin1011111100001100…
…0101101111110001
322021101020222200121
42333003011233301
523031021230400
61250015450241
7142300150111
oct27703055761
98241228617
103205258225
1113a5314a44
12755526981
133c1090000
14225997041
1513b5db21a
hexbf0c5bf1

3205258225 has 45 divisors (see below), whose sum is σ = 4370942247. Its totient is φ = 2331632160.

The previous prime is 3205258223. The next prime is 3205258241. The reversal of 3205258225 is 5228525023.

The square root of 3205258225 is 56615.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 3144854241 + 60403984 = 56079^2 + 7772^2 .

It is not a de Polignac number, because 3205258225 - 21 = 3205258223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3205258223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 47839642 + ... + 47839708.

Almost surely, 23205258225 is an apocalyptic number.

3205258225 is the 56615-th square number.

3205258225 is the 28308-th centered octagonal number.

It is an amenable number.

3205258225 is a deficient number, since it is larger than the sum of its proper divisors (1165684022).

3205258225 is an frugal number, since it uses more digits than its factorization.

3205258225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The cubic root of 3205258225 is about 1474.4193021993.

The spelling of 3205258225 in words is "three billion, two hundred five million, two hundred fifty-eight thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 67 169 325 335 845 871 1675 2197 4225 4355 4489 10985 11323 21775 22445 28561 54925 56615 58357 112225 142805 147199 283075 291785 714025 735995 758641 1458925 1913587 3679975 3793205 9567935 9862333 18966025 47839675 49311665 128210329 246558325 641051645 3205258225