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222138 = 23274143
BaseRepresentation
bin110110001110111010
3102021201100
4312032322
524102023
64432230
71613430
oct661672
9367640
10222138
11141994
12a8676
137a157
145ad50
1545c43
hex363ba

222138 has 48 divisors (see below), whose sum is σ = 576576. Its totient is φ = 60480.

The previous prime is 222137. The next prime is 222149. The reversal of 222138 is 831222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (192) is a multiple of the sum of its prime divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 222138.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 222138.

It is not an unprimeable number, because it can be changed into a prime (222137) 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 23 ways as a sum of consecutive naturals, for example, 5145 + ... + 5187.

It is an arithmetic number, because the mean of its divisors is an integer number (12012).

2222138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288288).

222138 is an abundant number, since it is smaller than the sum of its proper divisors (354438).

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

222138 is a wasteful number, since it uses less digits than its factorization.

222138 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 192, while the sum is 18.

The square root of 222138 is about 471.3151811686. The cubic root of 222138 is about 60.5630333641.

The spelling of 222138 in words is "two hundred twenty-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 43 63 82 86 123 126 129 246 258 287 301 369 387 574 602 738 774 861 903 1722 1763 1806 2583 2709 3526 5166 5289 5418 10578 12341 15867 24682 31734 37023 74046 111069 222138