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132212220 = 22357433727
BaseRepresentation
bin1111110000101…
…10010111111100
3100012210002001220
413320112113330
5232321242340
621041433340
73163533240
oct770262774
9305702056
10132212220
11686a2aa8
123833b850
13215116aa
14137b8420
15b918ed0
hex7e165fc

132212220 has 96 divisors (see below), whose sum is σ = 424639488. Its totient is φ = 30108672.

The previous prime is 132212209. The next prime is 132212233. The reversal of 132212220 is 22212231.

It is a happy number.

It is a super-2 number, since 2×1322122202 = 34960142234656800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132212220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181497 + ... + 182223.

It is an arithmetic number, because the mean of its divisors is an integer number (4423328).

Almost surely, 2132212220 is an apocalyptic number.

132212220 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 132212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212319744).

132212220 is an abundant number, since it is smaller than the sum of its proper divisors (292427268).

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

132212220 is a wasteful number, since it uses less digits than its factorization.

132212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 132212220 is about 11498.3572739761. The cubic root of 132212220 is about 509.4370566621.

Adding to 132212220 its reverse (22212231), we get a palindrome (154424451).

The spelling of 132212220 in words is "one hundred thirty-two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 433 727 866 1299 1454 1732 2165 2181 2598 2908 3031 3635 4330 4362 5089 5196 6062 6495 7270 8660 8724 9093 10178 10905 12124 12990 14540 15155 15267 18186 20356 21810 25445 25980 30310 30534 36372 43620 45465 50890 60620 61068 76335 90930 101780 152670 181860 305340 314791 629582 944373 1259164 1573955 1888746 2203537 3147910 3777492 4407074 4721865 6295820 6610611 8814148 9443730 11017685 13221222 18887460 22035370 26442444 33053055 44070740 66106110 132212220