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3165750225 = 3252114312
BaseRepresentation
bin1011110010110001…
…1000001111010001
322011121220202220100
42330230120033101
522440413001400
61242045003013
7141310301331
oct27454301721
98147822810
103165750225
111384a90000
12744253469
133b5b393b1
142206310c1
15137dd5100
hexbcb183d1

3165750225 has 135 divisors (see below), whose sum is σ = 6444882795. Its totient is φ = 1485396000.

The previous prime is 3165750223. The next prime is 3165750253. The reversal of 3165750225 is 5220575613.

The square root of 3165750225 is 56265.

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

3165750225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1139670081 + 2026080144 = 33759^2 + 45012^2 .

It is not a de Polignac number, because 3165750225 - 21 = 3165750223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3165750225.

It is not an unprimeable number, because it can be changed into a prime (3165750223) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 102120960 + ... + 102120990.

Almost surely, 23165750225 is an apocalyptic number.

3165750225 is the 56265-th square number.

3165750225 is the 28133-rd centered octagonal number.

It is an amenable number.

3165750225 is an abundant number, since it is smaller than the sum of its proper divisors (3279132570).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3165750225 is an equidigital number, since it uses as much as digits as its factorization.

3165750225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The cubic root of 3165750225 is about 1468.3363450162.

Multiplying 3165750225 by its sum of digits (36), we get a square (113967008100 = 3375902).

The spelling of 3165750225 in words is "three billion, one hundred sixty-five million, seven hundred fifty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 31 33 45 55 75 93 99 121 155 165 225 275 279 341 363 465 495 605 775 825 961 1023 1089 1331 1395 1705 1815 2325 2475 2883 3025 3069 3751 3993 4805 5115 5445 6655 6975 8525 8649 9075 10571 11253 11979 14415 14641 15345 18755 19965 24025 25575 27225 31713 33275 33759 41261 43245 43923 52855 56265 59895 72075 73205 76725 93775 95139 99825 116281 123783 131769 158565 168795 206305 216225 219615 264275 281325 299475 348843 366025 371349 453871 475695 581405 618915 658845 792825 843975 1031525 1046529 1098075 1279091 1361613 1744215 1856745 2269355 2378475 2907025 3094575 3294225 3837273 4084839 5232645 6395455 6808065 8721075 9283725 11346775 11511819 14070001 19186365 20424195 26163225 31977275 34040325 42210003 57559095 70350005 95931825 102120975 126630009 211050015 287795475 351750025 633150045 1055250075 3165750225