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9825228 = 22327127307
BaseRepresentation
bin100101011110…
…101111001100
3200111011200100
4211132233030
510003401403
6550331100
7146340660
oct45365714
920434610
109825228
115600926
123359a90
13206015a
14143a8a0
15ce12a3
hex95ebcc

9825228 has 72 divisors (see below), whose sum is σ = 28700672. Its totient is φ = 2776032.

The previous prime is 9825191. The next prime is 9825247. The reversal of 9825228 is 8225289.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 95 + 8 + 2 + 510 + 24 + 24 + 83 .

It is a junction number, because it is equal to n+sod(n) for n = 9825192 and 9825201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31851 + ... + 32157.

Almost surely, 29825228 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 9825228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14350336).

9825228 is an abundant number, since it is smaller than the sum of its proper divisors (18875444).

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

9825228 is a wasteful number, since it uses less digits than its factorization.

9825228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 446 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 9825228 is about 3134.5219731245. The cubic root of 9825228 is about 214.1809689981.

The spelling of 9825228 in words is "nine million, eight hundred twenty-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 307 381 508 614 762 889 921 1143 1228 1524 1778 1842 2149 2286 2667 2763 3556 3684 4298 4572 5334 5526 6447 8001 8596 10668 11052 12894 16002 19341 25788 32004 38682 38989 77364 77978 116967 155956 233934 272923 350901 467868 545846 701802 818769 1091692 1403604 1637538 2456307 3275076 4912614 9825228