Base | Representation |
---|---|
bin | 1010000110110000000100… |
… | …10101100100111001100100 |
3 | 2220200102101022210220011011 |
4 | 11003120002111210321210 |
5 | 10403042031200000400 |
6 | 115132423204152004 |
7 | 4452333555250222 |
oct | 503300225447144 |
9 | 86612338726134 |
10 | 22222200000100 |
11 | 7098422628741 |
12 | 25aa989998604 |
13 | c527102735b9 |
14 | 56b7bb351b12 |
15 | 2880b52708ba |
hex | 143602564e64 |
22222200000100 has 144 divisors (see below), whose sum is σ = 53421592549248. Its totient is φ = 7980806338560.
The previous prime is 22222200000061. The next prime is 22222200000107. The reversal of 22222200000100 is 100000222222.
It is a super-5 number, since 5×222222000001005 (a number of 68 digits) contains 55555 as substring.
It is not an unprimeable number, because it can be changed into a prime (22222200000107) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13822447 + ... + 15346153.
It is an arithmetic number, because the mean of its divisors is an integer number (370983281592).
Almost surely, 222222200000100 is an apocalyptic number.
22222200000100 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 22222200000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26710796274624).
22222200000100 is an abundant number, since it is smaller than the sum of its proper divisors (31199392549148).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22222200000100 is a wasteful number, since it uses less digits than its factorization.
22222200000100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1524134 (or 1524127 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 13.
Adding to 22222200000100 its reverse (100000222222), we get a palindrome (22322200222322).
The spelling of 22222200000100 in words is "twenty-two trillion, two hundred twenty-two billion, two hundred million, one hundred", and thus it is an aban number.
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