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132231232 = 2672341313
BaseRepresentation
bin1111110000110…
…11000001000000
3100012211001011001
413320123001000
5232322344412
621042101344
73163642540
oct770330100
9305731131
10132231232
1168706311
123834a854
132151a243
14137c1320
15b91e957
hex7e1b040

132231232 has 112 divisors (see below), whose sum is σ = 321576192. Its totient is φ = 52715520.

The previous prime is 132231223. The next prime is 132231259. The reversal of 132231232 is 232132231.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422308 + ... + 422620.

It is an arithmetic number, because the mean of its divisors is an integer number (2871216).

Almost surely, 2132231232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160788096).

132231232 is an abundant number, since it is smaller than the sum of its proper divisors (189344960).

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

132231232 is a wasteful number, since it uses less digits than its factorization.

132231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 386 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 132231232 is about 11499.1839710477. The cubic root of 132231232 is about 509.4614743574.

Adding to 132231232 its reverse (232132231), we get a palindrome (364363463).

Subtracting 132231232 from its reverse (232132231), we obtain a palindrome (99900999).

The spelling of 132231232 in words is "one hundred thirty-two million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 41 46 56 64 82 92 112 161 164 184 224 287 313 322 328 368 448 574 626 644 656 736 943 1148 1252 1288 1312 1472 1886 2191 2296 2504 2576 2624 3772 4382 4592 5008 5152 6601 7199 7544 8764 9184 10016 10304 12833 13202 14398 15088 17528 18368 20032 25666 26404 28796 30176 35056 50393 51332 52808 57592 60352 70112 89831 100786 102664 105616 115184 140224 179662 201572 205328 211232 230368 295159 359324 403144 410656 422464 460736 590318 718648 806288 821312 1180636 1437296 1612576 2066113 2361272 2874592 3225152 4132226 4722544 5749184 8264452 9445088 16528904 18890176 33057808 66115616 132231232