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1803276225 = 32521921492
BaseRepresentation
bin110101101111011…
…1100111111000001
311122200011220221100
41223132330333001
512143114314400
6454534245013
762454411042
oct15336747701
94580156840
101803276225
118459a2133
12423ab6769
1322979936a
141316ca8c9
15a84a4100
hex6b7bcfc1

1803276225 has 81 divisors (see below), whose sum is σ = 3431839593. Its totient is φ = 905014080.

The previous prime is 1803276203. The next prime is 1803276313. The reversal of 1803276225 is 5226723081.

The square root of 1803276225 is 42465.

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

1803276225 is a `hidden beast` number, since 1 + 8 + 0 + 3 + 27 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 538193601 + 1265082624 = 23199^2 + 35568^2 .

It is not a de Polignac number, because 1803276225 - 223 = 1794887617 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1803276225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12102451 + ... + 12102599.

Almost surely, 21803276225 is an apocalyptic number.

1803276225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1803276225 is the 42465-th square number.

1803276225 is the 21233-rd centered octagonal number.

It is an amenable number.

1803276225 is a deficient number, since it is larger than the sum of its proper divisors (1628563368).

1803276225 is a wasteful number, since it uses less digits than its factorization.

1803276225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The cubic root of 1803276225 is about 1217.1779763284.

Multiplying 1803276225 by its sum of digits (36), we get a square (64917944100 = 2547902).

The spelling of 1803276225 in words is "one billion, eight hundred three million, two hundred seventy-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 149 171 225 285 361 447 475 745 855 1083 1341 1425 1805 2235 2831 3249 3725 4275 5415 6705 8493 9025 11175 14155 16245 22201 25479 27075 33525 42465 53789 66603 70775 81225 111005 127395 161367 199809 212325 268945 333015 421819 484101 555025 636975 806835 999045 1265457 1344725 1665075 2109095 2420505 3796371 4034175 4995225 6327285 8014561 10545475 12102525 18981855 24043683 31636425 40072805 72131049 94909275 120218415 200364025 360655245 601092075 1803276225