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132221200 = 24523110663
BaseRepresentation
bin1111110000110…
…00100100010000
3100012210112101111
413320120210100
5232322034300
621041543104
73163601356
oct770304420
9305715344
10132221200
11686a9821
1238344a94
13215157c7
14137bb7d6
15b91b9ba
hex7e18910

132221200 has 60 divisors (see below), whose sum is σ = 327939328. Its totient is φ = 51177600.

The previous prime is 132221197. The next prime is 132221207. The reversal of 132221200 is 2122231.

It is not an unprimeable number, because it can be changed into a prime (132221207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7069 + ... + 17731.

Almost surely, 2132221200 is an apocalyptic number.

132221200 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 132221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163969664).

132221200 is an abundant number, since it is smaller than the sum of its proper divisors (195718128).

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

132221200 is a wasteful number, since it uses less digits than its factorization.

132221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10712 (or 10701 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 132221200 is about 11498.7477579082. The cubic root of 132221200 is about 509.4485902435.

Adding to 132221200 its reverse (2122231), we get a palindrome (134343431).

It can be divided in two parts, 1322 and 21200, that added together give a palindrome (22522).

The spelling of 132221200 in words is "one hundred thirty-two million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 10663 12400 21326 42652 53315 85304 106630 170608 213260 266575 330553 426520 533150 661106 853040 1066300 1322212 1652765 2132600 2644424 3305530 4265200 5288848 6611060 8263825 13222120 16527650 26444240 33055300 66110600 132221200