Base | Representation |
---|---|
bin | 1010000110101101110111… |
… | …00010001000101011000110 |
3 | 2220200022022112120211022100 |
4 | 11003112323202020223012 |
5 | 10403032113100010042 |
6 | 115132105251412530 |
7 | 4452262252326645 |
oct | 503267342105306 |
9 | 86608275524270 |
10 | 22221012110022 |
11 | 7097973043300 |
12 | 25aa6b7bb4146 |
13 | c5258112c16b |
14 | 56b70769535c |
15 | 288045d2824c |
hex | 1435bb888ac6 |
22221012110022 has 144 divisors (see below), whose sum is σ = 53188918159104. Its totient is φ = 6699481034400.
The previous prime is 22221012110009. The next prime is 22221012110051. The reversal of 22221012110022 is 22001121012222.
It is a happy number.
22221012110022 is a `hidden beast` number, since 222 + 210 + 1 + 211 + 0 + 0 + 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 = 22221012109977 and 22221012110004.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1812031063 + ... + 1812043325.
It is an arithmetic number, because the mean of its divisors is an integer number (369367487216).
Almost surely, 222221012110022 is an apocalyptic number.
22221012110022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 22221012110022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26594459079552).
22221012110022 is an abundant number, since it is smaller than the sum of its proper divisors (30967906049082).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22221012110022 is a wasteful number, since it uses less digits than its factorization.
22221012110022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16447 (or 16433 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 22221012110022 its reverse (22001121012222), we get a palindrome (44222133122244).
The spelling of 22221012110022 in words is "twenty-two trillion, two hundred twenty-one billion, twelve million, one hundred ten thousand, twenty-two".
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