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8212332 = 22319181199
BaseRepresentation
bin11111010100111101101100
3120110020012110
4133110331230
54100243312
6452004020
7126542442
oct37247554
916406173
108212332
1146aa057
122900610
131916c8b
14113ab92
15ac343c
hex7d4f6c

8212332 has 48 divisors (see below), whose sum is σ = 20384000. Its totient is φ = 2566080.

The previous prime is 8212291. The next prime is 8212333. The reversal of 8212332 is 2332128.

8212332 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 8212299 and 8212308.

It is not an unprimeable number, because it can be changed into a prime (8212333) 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, 41169 + ... + 41367.

Almost surely, 28212332 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 8212332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10192000).

8212332 is an abundant number, since it is smaller than the sum of its proper divisors (12171668).

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

8212332 is a wasteful number, since it uses less digits than its factorization.

8212332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 404 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 8212332 is about 2865.7166642918. The cubic root of 8212332 is about 201.7540056848.

The spelling of 8212332 in words is "eight million, two hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 181 199 228 362 398 543 597 724 796 1086 1194 2172 2388 3439 3781 6878 7562 10317 11343 13756 15124 20634 22686 36019 41268 45372 72038 108057 144076 216114 432228 684361 1368722 2053083 2737444 4106166 8212332