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9730224 = 243273197
BaseRepresentation
bin100101000111…
…100010110000
3200022100100200
4211013202300
54442331344
6544315200
7145464000
oct45074260
920270320
109730224
115546509
123312b00
132028b3a
141414000
15cc3069
hex9478b0

9730224 has 120 divisors (see below), whose sum is σ = 31917600. Its totient is φ = 2765952.

The previous prime is 9730207. The next prime is 9730229. The reversal of 9730224 is 4220379.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9730229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49294 + ... + 49490.

It is an arithmetic number, because the mean of its divisors is an integer number (265980).

Almost surely, 29730224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9730224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958800).

9730224 is an abundant number, since it is smaller than the sum of its proper divisors (22187376).

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

9730224 is a wasteful number, since it uses less digits than its factorization.

9730224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 9730224 is about 3119.3306974414. The cubic root of 9730224 is about 213.4883985454.

The spelling of 9730224 in words is "nine million, seven hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 197 252 294 336 343 392 394 441 504 588 591 686 784 788 882 1008 1029 1176 1182 1372 1379 1576 1764 1773 2058 2352 2364 2744 2758 3087 3152 3528 3546 4116 4137 4728 5488 5516 6174 7056 7092 8232 8274 9456 9653 11032 12348 12411 14184 16464 16548 19306 22064 24696 24822 28368 28959 33096 38612 49392 49644 57918 66192 67571 77224 86877 99288 115836 135142 154448 173754 198576 202713 231672 270284 347508 405426 463344 540568 608139 695016 810852 1081136 1216278 1390032 1621704 2432556 3243408 4865112 9730224