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9222984 = 233443331
BaseRepresentation
bin100011001011…
…101101001000
3122100120120000
4203023231020
54330113414
6525403000
7141252111
oct43135510
918316500
109222984
11522a401
123109460
131babcb4
141321208
15c22b09
hex8cbb48

9222984 has 80 divisors (see below), whose sum is σ = 26513520. Its totient is φ = 2993760.

The previous prime is 9222979. The next prime is 9222989. The reversal of 9222984 is 4892229.

It is an interprime number because it is at equal distance from previous prime (9222979) and next prime (9222989).

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 not an unprimeable number, because it can be changed into a prime (9222989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27699 + ... + 28029.

It is an arithmetic number, because the mean of its divisors is an integer number (331419).

Almost surely, 29222984 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 9222984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13256760).

9222984 is an abundant number, since it is smaller than the sum of its proper divisors (17290536).

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

9222984 is a wasteful number, since it uses less digits than its factorization.

9222984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 379 counting only the distinct ones).

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

The square root of 9222984 is about 3036.9366144192. The cubic root of 9222984 is about 209.7122589799.

The spelling of 9222984 in words is "nine million, two hundred twenty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 258 324 331 344 387 516 648 662 774 993 1032 1161 1324 1548 1986 2322 2648 2979 3096 3483 3972 4644 5958 6966 7944 8937 9288 11916 13932 14233 17874 23832 26811 27864 28466 35748 42699 53622 56932 71496 85398 107244 113864 128097 170796 214488 256194 341592 384291 512388 768582 1024776 1152873 1537164 2305746 3074328 4611492 9222984