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132225252 = 223172328181
BaseRepresentation
bin1111110000110…
…01100011100100
3100012210201221120
413320121203210
5232322202002
621042013540
73163616235
oct770314344
9305721846
10132225252
1168701875
12383472b0
13215175c3
14137bd08c
15b91ccbc
hex7e198e4

132225252 has 48 divisors (see below), whose sum is σ = 340889472. Its totient is φ = 39677440.

The previous prime is 132225251. The next prime is 132225293. The reversal of 132225252 is 252522231.

132225252 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

132225252 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (132225251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9399 + ... + 18782.

It is an arithmetic number, because the mean of its divisors is an integer number (7101864).

Almost surely, 2132225252 is an apocalyptic number.

132225252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132225252 is an abundant number, since it is smaller than the sum of its proper divisors (208664220).

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

132225252 is a wasteful number, since it uses less digits than its factorization.

132225252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28228 (or 28226 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 132225252 is about 11498.9239496572. The cubic root of 132225252 is about 509.4537943121.

Adding to 132225252 its reverse (252522231), we get a palindrome (384747483).

The spelling of 132225252 in words is "one hundred thirty-two million, two hundred twenty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 1173 1564 2346 4692 28181 56362 84543 112724 169086 338172 479077 648163 958154 1296326 1437231 1916308 1944489 2592652 2874462 3888978 5748924 7777956 11018771 22037542 33056313 44075084 66112626 132225252