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132432232220 = 225231014196803
BaseRepresentation
bin111101101010110010…
…0110111111100011100
3110122211102121102222122
41323111210313330130
54132210122412340
6140501042202112
712365536254251
oct1732544677434
9418742542878
10132432232220
11511895a7202
12217bb353338
13c646a674b2
1465a4519428
1536a1654db5
hex1ed5937f1c

132432232220 has 96 divisors (see below), whose sum is σ = 293815226880. Its totient is φ = 50040953600.

The previous prime is 132432232211. The next prime is 132432232279. The reversal of 132432232220 is 22232234231.

It is a happy number.

It is a super-2 number, since 2×1324322322202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132432232220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19463339 + ... + 19470141.

It is an arithmetic number, because the mean of its divisors is an integer number (3060575280).

Almost surely, 2132432232220 is an apocalyptic number.

132432232220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132432232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146907613440).

132432232220 is an abundant number, since it is smaller than the sum of its proper divisors (161382994660).

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

132432232220 is a wasteful number, since it uses less digits than its factorization.

132432232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7355 (or 7353 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 132432232220 its reverse (22232234231), we get a palindrome (154664466451).

The spelling of 132432232220 in words is "one hundred thirty-two billion, four hundred thirty-two million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 101 115 202 230 404 419 460 505 838 1010 1676 2020 2095 2323 4190 4646 6803 8380 9292 9637 11615 13606 19274 23230 27212 34015 38548 42319 46460 48185 68030 84638 96370 136060 156469 169276 192740 211595 312938 423190 625876 687103 782345 846380 973337 1374206 1564690 1946674 2748412 2850457 3129380 3435515 3893348 4866685 5700914 6871030 9733370 11401828 13742060 14252285 15803369 19466740 28504570 31606738 57009140 63213476 65560511 79016845 131121022 158033690 262242044 287896157 316067380 327802555 575792314 655605110 1151584628 1311210220 1439480785 2878961570 5757923140 6621611611 13243223222 26486446444 33108058055 66216116110 132432232220