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132201200 = 2452349947
BaseRepresentation
bin1111110000100…
…11101011110000
3100012202111221202
413320103223300
5232320414300
621041310332
73163456145
oct770235360
9305674852
10132201200
116869579a
12383353a8
1321509681
14137b43cc
15b915ad5
hex7e13af0

132201200 has 60 divisors (see below), whose sum is σ = 318859800. Its totient is φ = 52673280.

The previous prime is 132201193. The next prime is 132201211. The reversal of 132201200 is 2102231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139127 + ... + 140073.

It is an arithmetic number, because the mean of its divisors is an integer number (5314330).

Almost surely, 2132201200 is an apocalyptic number.

132201200 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 132201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159429900).

132201200 is an abundant number, since it is smaller than the sum of its proper divisors (186658600).

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

132201200 is a wasteful number, since it uses less digits than its factorization.

132201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 132201200 is about 11497.8780651040. The cubic root of 132201200 is about 509.4229022661.

Adding to 132201200 its reverse (2102231), we get a palindrome (134303431).

The spelling of 132201200 in words is "one hundred thirty-two million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 349 400 698 947 1396 1745 1894 2792 3490 3788 4735 5584 6980 7576 8725 9470 13960 15152 17450 18940 23675 27920 34900 37880 47350 69800 75760 94700 139600 189400 330503 378800 661006 1322012 1652515 2644024 3305030 5288048 6610060 8262575 13220120 16525150 26440240 33050300 66100600 132201200