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132228 = 22323673
BaseRepresentation
bin100000010010000100
320201101100
4200102010
513212403
62500100
71060335
oct402204
9221340
10132228
1190388
1264630
1348255
143628c
15292a3
hex20484

132228 has 18 divisors (see below), whose sum is σ = 334334. Its totient is φ = 44064.

The previous prime is 132199. The next prime is 132229. The reversal of 132228 is 822231.

It is a happy number.

132228 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 49284 = 288^2 + 222^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a d-powerful number, because it can be written as 1 + 3 + 26 + 210 + 217 + 82 .

It is a self number, because there is not a number n which added to its sum of digits gives 132228.

It is not an unprimeable number, because it can be changed into a prime (132229) by changing a digit.

132228 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 5 ways as a sum of consecutive naturals, for example, 1801 + ... + 1872.

2132228 is an apocalyptic number.

132228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132228 is an abundant number, since it is smaller than the sum of its proper divisors (202106).

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

132228 is a wasteful number, since it uses less digits than its factorization.

132228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3683 (or 3678 counting only the distinct ones).

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

The square root of 132228 is about 363.6316817880. The cubic root of 132228 is about 50.9457323566.

Adding to 132228 its reverse (822231), we get a palindrome (954459).

The spelling of 132228 in words is "one hundred thirty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3673 7346 11019 14692 22038 33057 44076 66114 132228