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9748600225 = 5274132312
BaseRepresentation
bin10010001010000111…
…11101010110100001
3221011101201012110121
421011003331112201
5124431120201400
64251202200241
7463402510000
oct110503752641
927141635417
109748600225
114152915701
121a80953081
13bc48a7900
14686a00c37
153c0c9e21a
hex2450fd5a1

9748600225 has 135 divisors (see below), whose sum is σ = 15778842489. Its totient is φ = 5971492800.

The previous prime is 9748600193. The next prime is 9748600229. The reversal of 9748600225 is 5220068479.

The square root of 9748600225 is 98735.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2512716129 + 7235884096 = 50127^2 + 85064^2 .

It is not a de Polignac number, because 9748600225 - 25 = 9748600193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9748600229) 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, 314470960 + ... + 314470990.

Almost surely, 29748600225 is an apocalyptic number.

9748600225 is the 98735-th square number.

9748600225 is the 49368-th centered octagonal number.

It is an amenable number.

9748600225 is a deficient number, since it is larger than the sum of its proper divisors (6030242264).

9748600225 is an equidigital number, since it uses as much as digits as its factorization.

9748600225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The cubic root of 9748600225 is about 2136.2271007286.

The spelling of 9748600225 in words is "nine billion, seven hundred forty-eight million, six hundred thousand, two hundred twenty-five".

Divisors: 1 5 7 13 25 31 35 49 65 91 155 169 175 217 245 325 343 403 455 637 775 845 961 1085 1183 1225 1519 1715 2015 2275 2401 2821 3185 4225 4459 4805 5239 5425 5915 6727 7595 8281 8575 10075 10633 12005 12493 14105 15925 19747 22295 24025 26195 29575 31213 33635 36673 37975 41405 47089 53165 57967 60025 62465 70525 74431 87451 98735 111475 130975 138229 156065 162409 168175 183365 207025 235445 256711 265825 289835 312325 329623 372155 405769 437255 493675 612157 691145 780325 812045 916825 967603 1136863 1177225 1283555 1449175 1648115 1796977 1860775 2028845 2186275 2307361 3060785 3455725 4060225 4285099 4838015 5684315 6417775 7958041 8240575 8984885 10144225 11536805 12578839 15303925 21425495 24190075 28421575 29995693 39790205 44924425 55706287 57684025 62894195 107127475 149978465 198951025 278531435 314470975 389944009 749892325 1392657175 1949720045 9748600225