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9819225 = 345213373
BaseRepresentation
bin100101011101…
…010001011001
3200110212110000
4211131101121
510003203400
6550243213
7146314323
oct45352131
920425400
109819225
1155a7369
123356509
13205a4c0
141438613
15cde600
hex95d459

9819225 has 60 divisors (see below), whose sum is σ = 19640236. Its totient is φ = 4821120.

The previous prime is 9819223. The next prime is 9819239. The reversal of 9819225 is 5229189.

9819225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 944784 + 8874441 = 972^2 + 2979^2 .

It is not a de Polignac number, because 9819225 - 21 = 9819223 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9819225.

It is not an unprimeable number, because it can be changed into a prime (9819221) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26139 + ... + 26511.

Almost surely, 29819225 is an apocalyptic number.

It is an amenable number.

9819225 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

9819225 is a wasteful number, since it uses less digits than its factorization.

9819225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 394 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 9819225 is about 3133.5642645397. The cubic root of 9819225 is about 214.1373401447.

The spelling of 9819225 in words is "nine million, eight hundred nineteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 195 225 325 351 373 405 585 675 975 1053 1119 1755 1865 2025 2925 3357 4849 5265 5595 8775 9325 10071 14547 16785 24245 26325 27975 30213 43641 50355 72735 83925 121225 130923 151065 218205 251775 363675 392769 654615 755325 1091025 1963845 3273075 9819225