Base | Representation |
---|---|
bin | 10100100101111111… |
… | …011011011111000000 |
3 | 2010002001001012220121 |
4 | 110211333123133000 |
5 | 330241212033440 |
6 | 14054101350024 |
7 | 1411650530653 |
oct | 244577333700 |
9 | 63061035817 |
10 | 22112221120 |
11 | 9417855010 |
12 | 4351408314 |
13 | 2115184312 |
14 | 10daa3389a |
15 | 8963e934a |
hex | 525fdb7c0 |
22112221120 has 112 divisors (see below), whose sum is σ = 57530975616. Its totient is φ = 8028288000.
The previous prime is 22112221073. The next prime is 22112221121. The reversal of 22112221120 is 2112221122.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 22112221094 and 22112221103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22112221121) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2427775 + ... + 2436865.
Almost surely, 222112221120 is an apocalyptic number.
22112221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22112221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28765487808).
22112221120 is an abundant number, since it is smaller than the sum of its proper divisors (35418754496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22112221120 is a wasteful number, since it uses less digits than its factorization.
22112221120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9810 (or 9800 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
Adding to 22112221120 its reverse (2112221122), we get a palindrome (24224442242).
It can be divided in two parts, 221122 and 21120, that added together give a palindrome (242242).
The spelling of 22112221120 in words is "twenty-two billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty".
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