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9893286225 = 32521923492
BaseRepresentation
bin10010011011010111…
…11001000101010001
3221112110222000100100
421031223321011101
5130230140124400
64313411243013
7500110355034
oct111553710521
927473860310
109893286225
114217558409
121b012a9469
13c18865b24
1469bd0501b
153cd82e100
hex24daf9151

9893286225 has 81 divisors (see below), whose sum is σ = 18755430993. Its totient is φ = 4984390080.

The previous prime is 9893286223. The next prime is 9893286251. The reversal of 9893286225 is 5226823989.

The square root of 9893286225 is 99465.

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

9893286225 is a `hidden beast` number, since 9 + 8 + 9 + 3 + 2 + 8 + 622 + 5 = 666.

9893286225 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 4 ways, for example, as 101787921 + 9791498304 = 10089^2 + 98952^2 .

It is not a de Polignac number, because 9893286225 - 21 = 9893286223 is a prime.

It is a super-3 number, since 3×98932862253 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (9893286223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 28347351 + ... + 28347699.

Almost surely, 29893286225 is an apocalyptic number.

9893286225 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

9893286225 is the 99465-th square number.

9893286225 is the 49733-rd centered octagonal number.

It is an amenable number.

9893286225 is a deficient number, since it is larger than the sum of its proper divisors (8862144768).

9893286225 is a wasteful number, since it uses less digits than its factorization.

9893286225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 376 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The cubic root of 9893286225 is about 2146.7436715938.

The spelling of 9893286225 in words is "nine billion, eight hundred ninety-three million, two hundred eighty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 225 285 349 361 475 855 1047 1083 1425 1745 1805 3141 3249 4275 5235 5415 6631 8725 9025 15705 16245 19893 26175 27075 33155 59679 78525 81225 99465 121801 125989 165775 298395 365403 377967 497325 609005 629945 1096209 1133901 1491975 1827015 1889835 2314219 3045025 3149725 5481045 5669505 6942657 9135075 9449175 11571095 20827971 27405225 28347525 34713285 43970161 57855475 104139855 131910483 173566425 219850805 395731449 520699275 659552415 1099254025 1978657245 3297762075 9893286225