| Base | Representation |
|---|---|
| bin | 100000010100100011111… |
| … | …000110111000001000000 |
| 3 | 21212100001021212202101101 |
| 4 | 200110203320313001000 |
| 5 | 242342303122400000 |
| 6 | 4420205341344144 |
| 7 | 316316635124113 |
| oct | 40244370670100 |
| 9 | 7770037782341 |
| 10 | 2221100200000 |
| 11 | 786a66182600 |
| 12 | 2ba569b68054 |
| 13 | 1315ab17bb96 |
| 14 | 7970500857a |
| 15 | 3cb98a92e6a |
| hex | 20523e37040 |
2221100200000 has 252 divisors, whose sum is σ = 6055431810372. Its totient is φ = 807664000000.
The previous prime is 2221100199991. The next prime is 2221100200021. The reversal of 2221100200000 is 20011222.
It can be written as a sum of positive squares in 6 ways, for example, as 1995619576896 + 225480623104 = 1412664^2 + 474848^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a self number, because there is not a number n which added to its sum of digits gives 2221100200000.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24154110 + ... + 24245890.
It is an arithmetic number, because the mean of its divisors is an integer number (24029491311).
Almost surely, 22221100200000 is an apocalyptic number.
2221100200000 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 2221100200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027715905186).
2221100200000 is an abundant number, since it is smaller than the sum of its proper divisors (3834331610372).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2221100200000 is an frugal number, since it uses more digits than its factorization.
2221100200000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 91840 (or 91799 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
Adding to 2221100200000 its reverse (20011222), we get a palindrome (2221120211222).
It can be divided in two parts, 2221100 and 200000, that added together give a triangular number (2421100 = T2200).
The spelling of 2221100200000 in words is "two trillion, two hundred twenty-one billion, one hundred million, two hundred thousand".
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