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9225602500 = 22541721132
BaseRepresentation
bin10001001011110001…
…11000010111000100
3212210221121011110111
420211320320113010
5122343223240000
64123240402404
7444422220202
oct104570702704
925727534414
109225602500
113a04680784
121955776404
13b4042caba
14637380072
1538ede1cba
hex225e385c4

9225602500 has 135 divisors (see below), whose sum is σ = 21622427827. Its totient is φ = 3442432000.

The previous prime is 9225602497. The next prime is 9225602509. The reversal of 9225602500 is 52065229.

The square root of 9225602500 is 96050.

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

It can be written as a sum of positive squares in 22 ways, for example, as 5929924036 + 3295678464 = 77006^2 + 57408^2 .

It is a super-2 number, since 2×92256025002 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9225602509) 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, 81642444 + ... + 81642556.

Almost surely, 29225602500 is an apocalyptic number.

9225602500 is the 96050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9225602500

9225602500 is an abundant number, since it is smaller than the sum of its proper divisors (12396825327).

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

9225602500 is a wasteful number, since it uses less digits than its factorization.

9225602500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The cubic root of 9225602500 is about 2097.3210359093.

Adding to 9225602500 its reverse (52065229), we get a palindrome (9277667729).

The spelling of 9225602500 in words is "nine billion, two hundred twenty-five million, six hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 113 125 170 226 250 289 340 425 452 500 565 578 625 850 1130 1156 1250 1445 1700 1921 2125 2260 2500 2825 2890 3842 4250 5650 5780 7225 7684 8500 9605 10625 11300 12769 14125 14450 19210 21250 25538 28250 28900 32657 36125 38420 42500 48025 51076 56500 63845 65314 70625 72250 96050 127690 130628 141250 144500 163285 180625 192100 217073 240125 255380 282500 319225 326570 361250 434146 480250 638450 653140 722500 816425 868292 960500 1085365 1200625 1276900 1596125 1632850 2170730 2401250 3192250 3265700 3690241 4082125 4341460 4802500 5426825 6384500 7380482 7980625 8164250 10853650 14760964 15961250 16328500 18451205 20410625 21707300 27134125 31922500 36902410 40821250 54268250 73804820 81642500 92256025 108536500 135670625 184512050 271341250 369024100 461280125 542682500 922560250 1845120500 2306400625 4612801250 9225602500