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2132219934 = 2321321741231
BaseRepresentation
bin111111100010111…
…0001100000011110
312111121010222212200
41333011301200132
513331322014214
6551324512330
7103560366435
oct17705614036
95447128780
102132219934
119a4645439
124b60ab6a6
1327c98c400
1416327611c
15c72cdd09
hex7f17181e

2132219934 has 72 divisors (see below), whose sum is σ = 5296910112. Its totient is φ = 617460480.

The previous prime is 2132219933. The next prime is 2132220007. The reversal of 2132219934 is 4399122312.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132219933) 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 35 ways as a sum of consecutive naturals, for example, 31099 + ... + 72329.

It is an arithmetic number, because the mean of its divisors is an integer number (73568196).

Almost surely, 22132219934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132219934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648455056).

2132219934 is an abundant number, since it is smaller than the sum of its proper divisors (3164690178).

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

2132219934 is a wasteful number, since it uses less digits than its factorization.

2132219934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41282 (or 41266 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 2132219934 is about 46175.9670607991. The cubic root of 2132219934 is about 1287.0951873276.

The spelling of 2132219934 in words is "two billion, one hundred thirty-two million, two hundred nineteen thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 169 221 234 306 338 442 507 663 1014 1326 1521 1989 2873 3042 3978 5746 8619 17238 25857 41231 51714 82462 123693 247386 371079 536003 700927 742158 1072006 1401854 1608009 2102781 3216018 4205562 4824027 6308343 6968039 9112051 9648054 12616686 13936078 18224102 20904117 27336153 41808234 54672306 62712351 82008459 118456663 125424702 164016918 236913326 355369989 710739978 1066109967 2132219934