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132224050 = 25272291861
BaseRepresentation
bin1111110000110…
…01010000110010
3100012210200022001
413320121100302
5232322132200
621042004214
73163612600
oct770312062
9305720261
10132224050
1168700982
123834666a
1321516baa
14137bc870
15b91c76a
hex7e19432

132224050 has 72 divisors (see below), whose sum is σ = 296113860. Its totient is φ = 43747200.

The previous prime is 132224047. The next prime is 132224089. The reversal of 132224050 is 50422231.

It can be written as a sum of positive squares in 6 ways, for example, as 10055241 + 122168809 = 3171^2 + 11053^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70120 + ... + 71980.

Almost surely, 2132224050 is an apocalyptic number.

132224050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132224050 is an abundant number, since it is smaller than the sum of its proper divisors (163889810).

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

132224050 is a wasteful number, since it uses less digits than its factorization.

132224050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 132224050 is about 11498.8716837784. The cubic root of 132224050 is about 509.4522505694.

Adding to 132224050 its reverse (50422231), we get a palindrome (182646281).

The spelling of 132224050 in words is "one hundred thirty-two million, two hundred twenty-four thousand, fifty".

Divisors: 1 2 5 7 10 14 25 29 35 49 50 58 70 98 145 175 203 245 290 350 406 490 725 1015 1225 1421 1450 1861 2030 2450 2842 3722 5075 7105 9305 10150 13027 14210 18610 26054 35525 46525 53969 65135 71050 91189 93050 107938 130270 182378 269845 325675 377783 455945 539690 651350 755566 911890 1349225 1888915 2279725 2644481 2698450 3777830 4559450 5288962 9444575 13222405 18889150 26444810 66112025 132224050