Search a number
-
+
9203730075225 = 34527296312
BaseRepresentation
bin1000010111101110100100…
…0011111100111001011001
31012120212102202212222010000
42011323221003330321121
52201243214344401400
631324045113043213
71636643003560200
oct205735103747131
935525382788100
109203730075225
112a29309761024
1210478b26b6509
13519ba5c02a6a
1423b66a336237
1510e624358600
hex85ee90fce59

9203730075225 has 135 divisors (see below), whose sum is σ = 19833975903951. Its totient is φ = 4206982600800.

The previous prime is 9203730075203. The next prime is 9203730075229. The reversal of 9203730075225 is 5225700373029.

The square root of 9203730075225 is 3033765.

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

9203730075225 is a `hidden beast` number, since 9 + 20 + 37 + 300 + 75 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3313342827081 + 5890387248144 = 1820259^2 + 2427012^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 9203730075225 - 29 = 9203730074713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9203730075229) 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, 955631160 + ... + 955640790.

Almost surely, 29203730075225 is an apocalyptic number.

9203730075225 is the 3033765-th square number.

9203730075225 is the 1516883-rd centered octagonal number.

It is an amenable number.

9203730075225 is an abundant number, since it is smaller than the sum of its proper divisors (10630245828726).

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

9203730075225 is an frugal number, since it uses more digits than its factorization.

9203730075225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19298 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 9203730075225 in words is "nine trillion, two hundred three billion, seven hundred thirty million, seventy-five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 245 315 405 441 525 567 675 735 945 1225 1323 1575 2025 2205 2835 3675 3969 4725 6615 9631 11025 14175 19845 28893 33075 48155 67417 86679 99225 144465 202251 240775 260037 337085 433395 471919 606753 722325 780111 1011255 1300185 1415757 1685425 1820259 2166975 2359595 3033765 3900555 4247271 5056275 5460777 6500925 7078785 9101295 11797975 12741813 15168825 19502775 21236355 27303885 35393925 38225439 45506475 63709065 92756161 106181775 136519425 191127195 278268483 318545325 463780805 649293127 834805449 955635975 1391342415 1947879381 2318904025 2504416347 3246465635 4174027245 4545051889 5843638143 6956712075 7513249041 9739396905 12522081735 13635155667 16232328175 17530914429 20870136225 22725259445 29218190715 37566245205 40905467001 48696984525 52592743287 62610408675 68175778335 87654572145 113626297225 122716401003 146090953575 187831226025 204527335005 262963716435 340878891675 368149203009 438272860725 613582005015 1022636675025 1314818582175 1840746015045 3067910025075 9203730075225