Base | Representation |
---|---|
bin | 111111001111101… |
… | …0010101101010000 |
3 | 12110220011111020202 |
4 | 1332133102231100 |
5 | 13321231213204 |
6 | 550324354332 |
7 | 103405553435 |
oct | 17637225520 |
9 | 5426144222 |
10 | 2122132304 |
11 | 999985456 |
12 | 4b28459a8 |
13 | 27a8699b6 |
14 | 161babb8c |
15 | c6489e1e |
hex | 7e7d2b50 |
2122132304 has 60 divisors (see below), whose sum is σ = 4509275004. Its totient is φ = 964110336.
The previous prime is 2122132303. The next prime is 2122132307. The reversal of 2122132304 is 4032312212.
It can be written as a sum of positive squares in 6 ways, for example, as 242736400 + 1879395904 = 15580^2 + 43352^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2122132303) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224114 + ... + 233390.
Almost surely, 22122132304 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 2122132304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254637502).
2122132304 is an abundant number, since it is smaller than the sum of its proper divisors (2387142700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122132304 is a wasteful number, since it uses less digits than its factorization.
2122132304 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9360 (or 9325 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 2122132304 is about 46066.6072551474. The cubic root of 2122132304 is about 1285.0622091843.
Adding to 2122132304 its reverse (4032312212), we get a palindrome (6154444516).
The spelling of 2122132304 in words is "two billion, one hundred twenty-two million, one hundred thirty-two thousand, three hundred four".
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