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9225320 = 23513113157
BaseRepresentation
bin100011001100…
…010001101000
3122100200202112
4203030101220
54330202240
6525421452
7141261656
oct43142150
918320675
109225320
115231135
12310a888
131bb0090
141321dd6
15c23665
hex8cc468

9225320 has 64 divisors (see below), whose sum is σ = 22695120. Its totient is φ = 3354624.

The previous prime is 9225319. The next prime is 9225329. The reversal of 9225320 is 235229.

It can be written as a sum of positive squares in 8 ways, for example, as 68644 + 9156676 = 262^2 + 3026^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9225329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58682 + ... + 58838.

Almost surely, 29225320 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 9225320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11347560).

9225320 is an abundant number, since it is smaller than the sum of its proper divisors (13469800).

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

9225320 is a wasteful number, since it uses less digits than its factorization.

9225320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 9225320 is about 3037.3211881525. The cubic root of 9225320 is about 209.7299628121.

The spelling of 9225320 in words is "nine million, two hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 113 130 157 226 260 314 452 520 565 628 785 904 1130 1256 1469 1570 2041 2260 2938 3140 4082 4520 5876 6280 7345 8164 10205 11752 14690 16328 17741 20410 29380 35482 40820 58760 70964 81640 88705 141928 177410 230633 354820 461266 709640 922532 1153165 1845064 2306330 4612660 9225320