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1643086225 = 52114672
BaseRepresentation
bin110000111101111…
…1000000110010001
311020111202102120101
41201323320012101
511331112224400
6431013012401
755501000564
oct14173700621
94214672511
101643086225
11773530000
1239a324101
13202540291
1411830c4db
15993b056a
hex61ef8191

1643086225 has 45 divisors (see below), whose sum is σ = 2275105035. Its totient is φ = 1177136400.

The previous prime is 1643086223. The next prime is 1643086253. The reversal of 1643086225 is 5226803461.

The square root of 1643086225 is 40535.

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

It can be written as a sum of positive squares in only one way, i.e., 591511041 + 1051575184 = 24321^2 + 32428^2 .

It is not a de Polignac number, because 1643086225 - 21 = 1643086223 is a prime.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (1643086223) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 24523642 + ... + 24523708.

Almost surely, 21643086225 is an apocalyptic number.

1643086225 is the 40535-th square number.

1643086225 is the 20268-th centered octagonal number.

It is an amenable number.

1643086225 is a deficient number, since it is larger than the sum of its proper divisors (632018810).

1643086225 is an frugal number, since it uses more digits than its factorization.

1643086225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The cubic root of 1643086225 is about 1180.0129810408.

Adding to 1643086225 its reverse (5226803461), we get a palindrome (6869889686).

The spelling of 1643086225 in words is "one billion, six hundred forty-three million, eighty-six thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 67 121 275 335 605 737 1331 1675 3025 3685 4489 6655 8107 14641 18425 22445 33275 40535 49379 73205 89177 112225 202675 246895 366025 445885 543169 980947 1234475 2229425 2715845 4904735 5974859 13579225 24523675 29874295 65723449 149371475 328617245 1643086225