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2132132200 = 23521123291453
BaseRepresentation
bin111111100010101…
…1100000101101000
312111120222112112021
41333011130011220
513331311212300
6551322554224
7103556552602
oct17705340550
95446875467
102132132200
119a4595530
124b6068974
1327c95b4b3
14163252172
15c72b2d1a
hex7f15c168

2132132200 has 192 divisors, whose sum is σ = 5841590400. Its totient is φ = 715545600.

The previous prime is 2132132159. The next prime is 2132132203. The reversal of 2132132200 is 22312312.

It is not an unprimeable number, because it can be changed into a prime (2132132203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1466674 + ... + 1468126.

It is an arithmetic number, because the mean of its divisors is an integer number (30424950).

Almost surely, 22132132200 is an apocalyptic number.

2132132200 is a gapful number since it is divisible by the number (20) 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 2132132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920795200).

2132132200 is an abundant number, since it is smaller than the sum of its proper divisors (3709458200).

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

2132132200 is a wasteful number, since it uses less digits than its factorization.

2132132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2132132200 is about 46175.0170546801. The cubic root of 2132132200 is about 1287.0775338082.

Adding to 2132132200 its reverse (22312312), we get a palindrome (2154444512).

The spelling of 2132132200 in words is "two billion, one hundred thirty-two million, one hundred thirty-two thousand, two hundred".