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9982224 = 243373301
BaseRepresentation
bin100110000101…
…000100010000
3200210011001000
4212011010100
510023412344
6553542000
7150563460
oct46050420
920704030
109982224
1156a887a
123414900
1320b6755
14147bba0
15d22a69
hex985110

9982224 has 80 divisors (see below), whose sum is σ = 32755840. Its totient is φ = 2851200.

The previous prime is 9982211. The next prime is 9982237. The reversal of 9982224 is 4222899.

It is an interprime number because it is at equal distance from previous prime (9982211) and next prime (9982237).

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1374 + ... + 4674.

It is an arithmetic number, because the mean of its divisors is an integer number (409448).

Almost surely, 29982224 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 9982224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16377920).

9982224 is an abundant number, since it is smaller than the sum of its proper divisors (22773616).

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

9982224 is a wasteful number, since it uses less digits than its factorization.

9982224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3313 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 9982224 is about 3159.4657776276. The cubic root of 9982224 is about 215.3157358503.

The spelling of 9982224 in words is "nine million, nine hundred eighty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 3301 6602 9903 13204 19806 23107 26408 29709 39612 46214 52816 59418 69321 79224 89127 92428 118836 138642 158448 178254 184856 207963 237672 277284 356508 369712 415926 475344 554568 623889 713016 831852 1109136 1247778 1426032 1663704 2495556 3327408 4991112 9982224