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238212 = 223213509
BaseRepresentation
bin111010001010000100
3110002202200
4322022010
530110322
65034500
72011332
oct721204
9402680
10238212
11152a77
12b5a30
1384570
1462b52
154a8ac
hex3a284

238212 has 36 divisors (see below), whose sum is σ = 649740. Its totient is φ = 73152.

The previous prime is 238207. The next prime is 238213. The reversal of 238212 is 212832.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 112896 + 125316 = 336^2 + 354^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (238213) by changing a digit.

238212 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 11 ways as a sum of consecutive naturals, for example, 214 + ... + 722.

2238212 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 238212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324870).

238212 is an abundant number, since it is smaller than the sum of its proper divisors (411528).

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

238212 is a wasteful number, since it uses less digits than its factorization.

238212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 527 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 238212 is about 488.0696671583. The cubic root of 238212 is about 61.9899394012.

The spelling of 238212 in words is "two hundred thirty-eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 509 1018 1527 2036 3054 4581 6108 6617 9162 13234 18324 19851 26468 39702 59553 79404 119106 238212