| Base | Representation |
|---|---|
| bin | 111111100010111… |
| … | …0001100001111000 |
| 3 | 12111121011000000000 |
| 4 | 1333011301201320 |
| 5 | 13331322020044 |
| 6 | 551324513000 |
| 7 | 103560366624 |
| oct | 17705614170 |
| 9 | 5447130000 |
| 10 | 2132220024 |
| 11 | 9a4645510 |
| 12 | 4b60ab760 |
| 13 | 27c98c46c |
| 14 | 163276184 |
| 15 | c72cdd69 |
| hex | 7f171878 |
2132220024 has 160 divisors (see below), whose sum is σ = 6547242240. Its totient is φ = 645602400.
The previous prime is 2132220007. The next prime is 2132220029. The reversal of 2132220024 is 4200222312.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2132219979 and 2132220006.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2132220029) 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 39 ways as a sum of consecutive naturals, for example, 1731489 + ... + 1732719.
It is an arithmetic number, because the mean of its divisors is an integer number (40920264).
Almost surely, 22132220024 is an apocalyptic number.
2132220024 is a gapful number since it is divisible by the number (24) 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 2132220024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273621120).
2132220024 is an abundant number, since it is smaller than the sum of its proper divisors (4415022216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2132220024 is an equidigital number, since it uses as much as digits as its factorization.
2132220024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1275 (or 1247 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 2132220024 is about 46175.9680353320. The cubic root of 2132220024 is about 1287.0952054369.
Adding to 2132220024 its reverse (4200222312), we get a palindrome (6332442336).
The spelling of 2132220024 in words is "two billion, one hundred thirty-two million, two hundred twenty thousand, twenty-four".
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