| Base | Representation |
|---|---|
| bin | 111111100010111… |
| … | …0000010010000000 |
| 3 | 12111121010201222200 |
| 4 | 1333011300102000 |
| 5 | 13331321334122 |
| 6 | 551324433200 |
| 7 | 103560346002 |
| oct | 17705602200 |
| 9 | 5447121880 |
| 10 | 2132214912 |
| 11 | 9a4641693 |
| 12 | 4b60a8800 |
| 13 | 27c98a039 |
| 14 | 163274372 |
| 15 | c72cc5ac |
| hex | 7f170480 |
2132214912 has 96 divisors (see below), whose sum is σ = 6157585980. Its totient is φ = 708200448.
The previous prime is 2132214911. The next prime is 2132214913. The reversal of 2132214912 is 2194122312.
It is an interprime number because it is at equal distance from previous prime (2132214911) and next prime (2132214913).
It can be written as a sum of positive squares in 2 ways, for example, as 1952225856 + 179989056 = 44184^2 + 13416^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-3 number, since 3×21322149123 (a number of 29 digits) contains 333 as substring.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (2132214911) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334378 + ... + 340694.
Almost surely, 22132214912 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2132214912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078792990).
2132214912 is an abundant number, since it is smaller than the sum of its proper divisors (4025371068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2132214912 is a wasteful number, since it uses less digits than its factorization.
2132214912 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6630 (or 6615 counting only the distinct ones).
The product of its digits is 1728, while the sum is 27.
The square root of 2132214912 is about 46175.9126818301. The cubic root of 2132214912 is about 1287.0941768320.
The spelling of 2132214912 in words is "two billion, one hundred thirty-two million, two hundred fourteen thousand, nine hundred twelve".
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