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132223032 = 23324147953
BaseRepresentation
bin1111110000110…
…01000000111000
3100012210121220100
413320121000320
5232322114112
621041555400
73163606614
oct770310070
9305717810
10132223032
1168700137
1238345b60
13215165a6
14137bc344
15b91c2dc
hex7e19038

132223032 has 96 divisors (see below), whose sum is σ = 375036480. Its totient is φ = 42040320.

The previous prime is 132223031. The next prime is 132223037. The reversal of 132223032 is 230322231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132222996 and 132223014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132223031) 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, 138268 + ... + 139220.

It is an arithmetic number, because the mean of its divisors is an integer number (3906630).

Almost surely, 2132223032 is an apocalyptic number.

132223032 is a gapful number since it is divisible by the number (12) 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 132223032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187518240).

132223032 is an abundant number, since it is smaller than the sum of its proper divisors (242813448).

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

132223032 is a wasteful number, since it uses less digits than its factorization.

132223032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 132223032 is about 11498.8274184805. The cubic root of 132223032 is about 509.4509431327.

Adding to 132223032 its reverse (230322231), we get a palindrome (362545263).

The spelling of 132223032 in words is "one hundred thirty-two million, two hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 47 72 82 94 123 141 164 188 246 282 328 369 376 423 492 564 738 846 953 984 1128 1476 1692 1906 1927 2859 2952 3384 3812 3854 5718 5781 7624 7708 8577 11436 11562 15416 17154 17343 22872 23124 34308 34686 39073 44791 46248 68616 69372 78146 89582 117219 134373 138744 156292 179164 234438 268746 312584 351657 358328 403119 468876 537492 703314 806238 937752 1074984 1406628 1612476 1836431 2813256 3224952 3672862 5509293 7345724 11018586 14691448 16527879 22037172 33055758 44074344 66111516 132223032