Base | Representation |
---|---|
bin | 1100110111010111110… |
… | …0110111001011011110 |
3 | 210010111102022011101000 |
4 | 3031311330313023132 |
5 | 12110123142033042 |
6 | 245311453131130 |
7 | 21653064611061 |
oct | 3156574671336 |
9 | 703442264330 |
10 | 221022221022 |
11 | 8580a310a89 |
12 | 36a03a89aa6 |
13 | 17ac4714305 |
14 | a9aa05a8d8 |
15 | 5b38d1074c |
hex | 3375f372de |
221022221022 has 64 divisors (see below), whose sum is σ = 496194765120. Its totient is φ = 72919440000.
The previous prime is 221022220831. The next prime is 221022221027. The reversal of 221022221022 is 220122220122.
221022221022 is a `hidden beast` number, since 2 + 210 + 222 + 210 + 22 = 666.
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 = 221022220986 and 221022221004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (221022221027) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22318272 + ... + 22328172.
It is an arithmetic number, because the mean of its divisors is an integer number (7753043205).
Almost surely, 2221022221022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 221022221022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248097382560).
221022221022 is an abundant number, since it is smaller than the sum of its proper divisors (275172544098).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221022221022 is a wasteful number, since it uses less digits than its factorization.
221022221022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14106 (or 14100 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 221022221022 its reverse (220122220122), we get a palindrome (441144441144).
The spelling of 221022221022 in words is "two hundred twenty-one billion, twenty-two million, two hundred twenty-one thousand, twenty-two".
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