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229482 = 232111961
BaseRepresentation
bin111000000001101010
3102122210100
4320001222
524320412
64530230
71644021
oct700152
9378710
10229482
11147460
12b0976
13805b6
145d8b8
1547edc
hex3806a

229482 has 48 divisors (see below), whose sum is σ = 580320. Its totient is φ = 64800.

The previous prime is 229469. The next prime is 229487. The reversal of 229482 is 284922.

229482 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

Its product of digits (2304) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (229487) by changing a digit.

229482 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 3732 + ... + 3792.

It is an arithmetic number, because the mean of its divisors is an integer number (12090).

2229482 is an apocalyptic number.

229482 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 229482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290160).

229482 is an abundant number, since it is smaller than the sum of its proper divisors (350838).

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

229482 is a wasteful number, since it uses less digits than its factorization.

229482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 96 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 229482 is about 479.0427955830. The cubic root of 229482 is about 61.2232258379.

The spelling of 229482 in words is "two hundred twenty-nine thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 61 66 99 114 122 171 183 198 209 342 366 418 549 627 671 1098 1159 1254 1342 1881 2013 2318 3477 3762 4026 6039 6954 10431 12078 12749 20862 25498 38247 76494 114741 229482