Base | Representation |
---|---|
bin | 10100101011111011… |
… | …000001011110010000 |
3 | 2010022222021202110121 |
4 | 110223323001132100 |
5 | 330442200314141 |
6 | 14112014240024 |
7 | 1414266404161 |
oct | 245373013620 |
9 | 63288252417 |
10 | 22211729296 |
11 | 9468a3aa79 |
12 | 437a7b6014 |
13 | 212c984cb3 |
14 | 1109d37768 |
15 | 8a00031d1 |
hex | 52bec1790 |
22211729296 has 135 divisors (see below), whose sum is σ = 47577554451. Its totient is φ = 10043834112.
The previous prime is 22211729291. The next prime is 22211729299. The reversal of 22211729296 is 69292711222.
The square root of 22211729296 is 149036.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 8866858896 + 13344870400 = 94164^2 + 115520^2 .
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (22211729291) 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 26 ways as a sum of consecutive naturals, for example, 419089206 + ... + 419089258.
Almost surely, 222211729296 is an apocalyptic number.
22211729296 is the 149036-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22211729296
22211729296 is an abundant number, since it is smaller than the sum of its proper divisors (25365825155).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22211729296 is an equidigital number, since it uses as much as digits as its factorization.
22211729296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 226 (or 111 counting only the distinct ones).
The product of its digits is 108864, while the sum is 43.
The spelling of 22211729296 in words is "twenty-two billion, two hundred eleven million, seven hundred twenty-nine thousand, two hundred ninety-six".
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