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2132205020 = 2251142123021
BaseRepresentation
bin111111100010110…
…1101110111011100
312111121010020102022
41333011231313130
513331321030040
6551324315312
7103560305111
oct17705556734
95447106368
102132205020
119a4635210
124b60a2b38
1327c98569a
14163270908
15c72c96b5
hex7f16dddc

2132205020 has 48 divisors (see below), whose sum is σ = 4896503136. Its totient is φ = 773472000.

The previous prime is 2132204939. The next prime is 2132205029. The reversal of 2132205020 is 205022312.

It is a self number, because there is not a number n which added to its sum of digits gives 2132205020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132205029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81110 + ... + 104130.

It is an arithmetic number, because the mean of its divisors is an integer number (102010482).

Almost surely, 22132205020 is an apocalyptic number.

2132205020 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 2132205020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448251568).

2132205020 is an abundant number, since it is smaller than the sum of its proper divisors (2764298116).

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

2132205020 is a wasteful number, since it uses less digits than its factorization.

2132205020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23462 (or 23460 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2132205020 is about 46175.8055695837. The cubic root of 2132205020 is about 1287.0921864204.

Adding to 2132205020 its reverse (205022312), we get a palindrome (2337227332).

The spelling of 2132205020 in words is "two billion, one hundred thirty-two million, two hundred five thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 421 842 1684 2105 4210 4631 8420 9262 18524 23021 23155 46042 46310 92084 92620 115105 230210 253231 460420 506462 1012924 1266155 2532310 5064620 9691841 19383682 38767364 48459205 96918410 106610251 193836820 213220502 426441004 533051255 1066102510 2132205020