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2132252200 = 23521317192539
BaseRepresentation
bin111111100010111…
…1001011000101000
312111121012122010201
41333011321120220
513331324032300
6551325321544
7103560562501
oct17705713050
95447178121
102132252200
119a4667701
124b61062b4
1327c9a0cc0
14163283ba8
15c72d866a
hex7f179628

2132252200 has 192 divisors, whose sum is σ = 5952744000. Its totient is φ = 701706240.

The previous prime is 2132252189. The next prime is 2132252207. The reversal of 2132252200 is 22522312.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (2132252207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 838531 + ... + 841069.

It is an arithmetic number, because the mean of its divisors is an integer number (31003875).

Almost surely, 22132252200 is an apocalyptic number.

2132252200 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 2132252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976372000).

2132252200 is an abundant number, since it is smaller than the sum of its proper divisors (3820491800).

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

2132252200 is a wasteful number, since it uses less digits than its factorization.

2132252200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2595 counting only the distinct ones).

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

The square root of 2132252200 is about 46176.3164403572. The cubic root of 2132252200 is about 1287.1016796541.

Adding to 2132252200 its reverse (22522312), we get a palindrome (2154774512).

The spelling of 2132252200 in words is "two billion, one hundred thirty-two million, two hundred fifty-two thousand, two hundred".