| Base | Representation |
|---|---|
| bin | 1000010001011000… |
| … | …1001110110000000 |
| 3 | 12201202002000012001 |
| 4 | 2010112021312000 |
| 5 | 14021410300000 |
| 6 | 1004154513344 |
| 7 | 106011042250 |
| oct | 20426116600 |
| 9 | 5652060161 |
| 10 | 2220400000 |
| 11 | a3a3a3425 |
| 12 | 51b735854 |
| 13 | 295024b70 |
| 14 | 170c6b960 |
| 15 | cedeb46a |
| hex | 84589d80 |
2220400000 has 384 divisors, whose sum is σ = 6916432320. Its totient is φ = 691200000.
The previous prime is 2220399997. The next prime is 2220400003. The reversal of 2220400000 is 40222.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (2220399997) and next prime (2220400003).
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 2220400000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2220400003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36399970 + ... + 36400030.
Almost surely, 22220400000 is an apocalyptic number.
2220400000 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 2220400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458216160).
2220400000 is an abundant number, since it is smaller than the sum of its proper divisors (4696032320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2220400000 is an frugal number, since it uses more digits than its factorization.
2220400000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 120 (or 88 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 10.
The square root of 2220400000 is about 47121.1205299704. The cubic root of 2220400000 is about 1304.5990949098.
Adding to 2220400000 its reverse (40222), we get a palindrome (2220440222).
The spelling of 2220400000 in words is "two billion, two hundred twenty million, four hundred thousand".
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