Base | Representation |
---|---|
bin | 1000010011111100… |
… | …0110010010001000 |
3 | 12202111021022112102 |
4 | 2010333012102020 |
5 | 14032132231240 |
6 | 1005220532532 |
7 | 106201214603 |
oct | 20477062210 |
9 | 5674238472 |
10 | 2231133320 |
11 | a45464539 |
12 | 523251148 |
13 | 297312440 |
14 | 17246333a |
15 | d0d1b815 |
hex | 84fc6488 |
2231133320 has 32 divisors (see below), whose sum is σ = 5406208920. Its totient is φ = 823802880.
The previous prime is 2231133319. The next prime is 2231133347. The reversal of 2231133320 is 233311322.
It can be written as a sum of positive squares in 4 ways, for example, as 2054083684 + 177049636 = 45322^2 + 13306^2 .
It is a super-3 number, since 3×22311333203 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 2231133292 and 2231133301.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 2144801 + ... + 2145840.
Almost surely, 22231133320 is an apocalyptic number.
2231133320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2231133320 is an abundant number, since it is smaller than the sum of its proper divisors (3175075600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2231133320 is a wasteful number, since it uses less digits than its factorization.
2231133320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4290665 (or 4290661 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 20.
The square root of 2231133320 is about 47234.8739809899. The cubic root of 2231133320 is about 1306.6978424581.
Adding to 2231133320 its reverse (233311322), we get a palindrome (2464444642).
The spelling of 2231133320 in words is "two billion, two hundred thirty-one million, one hundred thirty-three thousand, three hundred twenty".
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