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222132 = 223107173
BaseRepresentation
bin110110001110110100
3102021201010
4312032310
524102012
64432220
71613421
oct661664
9367633
10222132
11141989
12a8670
137a151
145ad48
1545c3c
hex363b4

222132 has 24 divisors (see below), whose sum is σ = 526176. Its totient is φ = 72928.

The previous prime is 222127. The next prime is 222137. The reversal of 222132 is 231222.

It is an interprime number because it is at equal distance from previous prime (222127) and next prime (222137).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222137) by changing a digit.

222132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1198 + ... + 1370.

It is an arithmetic number, because the mean of its divisors is an integer number (21924).

2222132 is an apocalyptic number.

It is an amenable number.

222132 is an abundant number, since it is smaller than the sum of its proper divisors (304044).

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

222132 is a wasteful number, since it uses less digits than its factorization.

222132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 285 counting only the distinct ones).

The product of its digits is 48, while the sum is 12.

The square root of 222132 is about 471.3088159583. The cubic root of 222132 is about 60.5624880852.

Adding to 222132 its reverse (231222), we get a palindrome (453354).

The spelling of 222132 in words is "two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 107 173 214 321 346 428 519 642 692 1038 1284 2076 18511 37022 55533 74044 111066 222132