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132225 = 3524143
BaseRepresentation
bin100000010010000001
320201101020
4200102001
513212400
62500053
71060332
oct402201
9221336
10132225
1190385
1264629
1348252
1436289
15292a0
hex20481

132225 has 24 divisors (see below), whose sum is σ = 229152. Its totient is φ = 67200.

The previous prime is 132199. The next prime is 132229. The reversal of 132225 is 522231.

132225 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 132225 - 28 = 131969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a d-powerful number, because it can be written as 1 + 3 + 210 + 216 + 216 + 53 .

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3054 + ... + 3096.

It is an arithmetic number, because the mean of its divisors is an integer number (9548).

2132225 is an apocalyptic number.

132225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132225 is a deficient number, since it is larger than the sum of its proper divisors (96927).

132225 is a wasteful number, since it uses less digits than its factorization.

132225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 92 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 132225 is about 363.6275567115. The cubic root of 132225 is about 50.9453470666.

Adding to 132225 its reverse (522231), we get a palindrome (654456).

The spelling of 132225 in words is "one hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 41 43 75 123 129 205 215 615 645 1025 1075 1763 3075 3225 5289 8815 26445 44075 132225