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9982230 = 2351723237
BaseRepresentation
bin100110000101…
…000100010110
3200210011001020
4212011010112
510023412410
6553542010
7150563466
oct46050426
920704036
109982230
1156a8885
123414906
1320b675b
14147bba6
15d22a70
hex985116

9982230 has 96 divisors (see below), whose sum is σ = 27234144. Its totient is φ = 2331648.

The previous prime is 9982211. The next prime is 9982237. The reversal of 9982230 is 322899.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9982191 and 9982200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9982237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269772 + ... + 269808.

It is an arithmetic number, because the mean of its divisors is an integer number (283689).

Almost surely, 29982230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9982230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13617072).

9982230 is an abundant number, since it is smaller than the sum of its proper divisors (17251914).

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

9982230 is a wasteful number, since it uses less digits than its factorization.

9982230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 9982230 is about 3159.4667271551. The cubic root of 9982230 is about 215.3157789901.

The spelling of 9982230 in words is "nine million, nine hundred eighty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 37 46 51 69 74 85 102 111 115 138 170 185 222 230 255 345 370 391 510 529 555 629 690 782 851 1058 1110 1173 1258 1587 1702 1887 1955 2346 2553 2645 3145 3174 3774 3910 4255 5106 5290 5865 6290 7935 8510 8993 9435 11730 12765 14467 15870 17986 18870 19573 25530 26979 28934 39146 43401 44965 53958 58719 72335 86802 89930 97865 117438 134895 144670 195730 217005 269790 293595 332741 434010 587190 665482 998223 1663705 1996446 3327410 4991115 9982230