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225132 = 22373257
BaseRepresentation
bin110110111101101100
3102102211020
4312331230
524201012
64454140
71625235
oct667554
9372736
10225132
11144166
12aa350
137b61b
145c08c
1546a8c
hex36f6c

225132 has 24 divisors (see below), whose sum is σ = 534576. Its totient is φ = 73728.

The previous prime is 225119. The next prime is 225133. The reversal of 225132 is 231522.

225132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225132.

It is not an unprimeable number, because it can be changed into a prime (225133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 748 + ... + 1004.

It is an arithmetic number, because the mean of its divisors is an integer number (22274).

2225132 is an apocalyptic number.

It is an amenable number.

225132 is an abundant number, since it is smaller than the sum of its proper divisors (309444).

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

225132 is a wasteful number, since it uses less digits than its factorization.

225132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 335 counting only the distinct ones).

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

The square root of 225132 is about 474.4807688411. The cubic root of 225132 is about 60.8339117144.

Adding to 225132 its reverse (231522), we get a palindrome (456654).

The spelling of 225132 in words is "two hundred twenty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 73 146 219 257 292 438 514 771 876 1028 1542 3084 18761 37522 56283 75044 112566 225132