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2132170920 = 23325115310159
BaseRepresentation
bin111111100010110…
…0101100010101000
312111121001111122100
41333011211202220
513331313432140
6551323453400
7103560103515
oct17705454250
95447044570
102132170920
119a4611630
124b6087260
1327c972cc9
1416326230c
15c72be530
hex7f1658a8

2132170920 has 192 divisors, whose sum is σ = 7702905600. Its totient is φ = 507087360.

The previous prime is 2132170913. The next prime is 2132170921. The reversal of 2132170920 is 290712312.

It is not an unprimeable number, because it can be changed into a prime (2132170921) 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, 204801 + ... + 214959.

It is an arithmetic number, because the mean of its divisors is an integer number (40119300).

Almost surely, 22132170920 is an apocalyptic number.

2132170920 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 2132170920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851452800).

2132170920 is an abundant number, since it is smaller than the sum of its proper divisors (5570734680).

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

2132170920 is a wasteful number, since it uses less digits than its factorization.

2132170920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10240 (or 10233 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2132170920 is about 46175.4363271209. The cubic root of 2132170920 is about 1287.0853249668.

The spelling of 2132170920 in words is "two billion, one hundred thirty-two million, one hundred seventy thousand, nine hundred twenty".