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98668233225 = 32524324872
BaseRepresentation
bin101101111100100010…
…1011100001000001001
3100102200100200120200100
41123321011130020021
53104033031430400
6113154430400013
710062043100352
oct1337105341011
9312610616610
1098668233225
1138932711001
1217157960009
1393c5931573
144ac0230d29
152877372100
hex16f915c209

98668233225 has 81 divisors (see below), whose sum is σ = 181303534503. Its totient is φ = 51293723040.

The previous prime is 98668233211. The next prime is 98668233227. The reversal of 98668233225 is 52233286689.

The square root of 98668233225 is 314115.

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., 35520563961 + 63147669264 = 188469^2 + 251292^2 .

It is not a de Polignac number, because 98668233225 - 227 = 98534015497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (98668233227) 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, 202603932 + ... + 202604418.

Almost surely, 298668233225 is an apocalyptic number.

98668233225 is the 314115-th square number.

98668233225 is the 157058-th centered octagonal number.

It is an amenable number.

98668233225 is a deficient number, since it is larger than the sum of its proper divisors (82635301278).

98668233225 is an equidigital number, since it uses as much as digits as its factorization.

98668233225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 538 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 98668233225 in words is "ninety-eight billion, six hundred sixty-eight million, two hundred thirty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 43 45 75 129 215 225 387 487 645 1075 1461 1849 1935 2435 3225 4383 5547 7305 9245 9675 12175 16641 20941 21915 27735 36525 46225 62823 83205 104705 109575 138675 188469 237169 314115 416025 523525 711507 900463 942345 1185845 1570575 2134521 2701389 3557535 4502315 4711725 5929225 8104167 10198267 10672605 13506945 17787675 22511575 30594801 40520835 50991335 53363025 67534725 91784403 152974005 202604175 254956675 438525481 458922015 764870025 1315576443 2192627405 2294610075 3946729329 6577882215 10963137025 19733646645 32889411075 98668233225