Base | Representation |
---|---|
bin | 10100100000100111… |
… | …011000101101011101 |
3 | 2002211202100011000000 |
4 | 110200213120231131 |
5 | 330100120012341 |
6 | 14041120324513 |
7 | 1406504120400 |
oct | 244047305535 |
9 | 62752304000 |
10 | 22022032221 |
11 | 9380954832 |
12 | 4327173739 |
13 | 20cc5973c7 |
14 | 10cca77d37 |
15 | 88d5318b6 |
hex | 5209d8b5d |
22022032221 has 42 divisors (see below), whose sum is σ = 38408691102. Its totient is φ = 12583998000.
The previous prime is 22022032141. The next prime is 22022032261. The reversal of 22022032221 is 12223022022.
22022032221 is a `hidden beast` number, since 220 + 220 + 3 + 2 + 221 = 666.
It can be written as a sum of positive squares in only one way, i.e., 21454925625 + 567106596 = 146475^2 + 23814^2 .
It is not a de Polignac number, because 22022032221 - 210 = 22022031197 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 22022032194 and 22022032203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22022032261) 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 41 ways as a sum of consecutive naturals, for example, 272530 + ... + 343971.
Almost surely, 222022032221 is an apocalyptic number.
22022032221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.
It is an amenable number.
22022032221 is a deficient number, since it is larger than the sum of its proper divisors (16386658881).
22022032221 is an frugal number, since it uses more digits than its factorization.
22022032221 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 616533 (or 616511 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
Adding to 22022032221 its reverse (12223022022), we get a palindrome (34245054243).
The spelling of 22022032221 in words is "twenty-two billion, twenty-two million, thirty-two thousand, two hundred twenty-one".
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