| Base | Representation |
|---|---|
| bin | 1000010001010011… |
| … | …0011000001110000 |
| 3 | 12201201101221101200 |
| 4 | 2010110303001300 |
| 5 | 14021312410100 |
| 6 | 1004143131200 |
| 7 | 106005031440 |
| oct | 20424630160 |
| 9 | 5651357350 |
| 10 | 2220044400 |
| 11 | a3a180242 |
| 12 | 51b5a3b00 |
| 13 | 294c2c052 |
| 14 | 170bb8120 |
| 15 | ced7ae00 |
| hex | 84533070 |
2220044400 has 360 divisors, whose sum is σ = 9046531104. Its totient is φ = 493516800.
The previous prime is 2220044383. The next prime is 2220044461. The reversal of 2220044400 is 44400222.
2220044400 is a `hidden beast` number, since 2 + 220 + 0 + 4 + 440 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a zygodrome in base 10.
It is a congruent number.
It is an unprimeable number.
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 71 ways as a sum of consecutive naturals, for example, 931210 + ... + 933590.
Almost surely, 22220044400 is an apocalyptic number.
2220044400 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 2220044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523265552).
2220044400 is an abundant number, since it is smaller than the sum of its proper divisors (6826486704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2220044400 is a wasteful number, since it uses less digits than its factorization.
2220044400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2449 (or 2435 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The square root of 2220044400 is about 47117.3471239627. The cubic root of 2220044400 is about 1304.5294467675.
Adding to 2220044400 its reverse (44400222), we get a palindrome (2264444622).
The spelling of 2220044400 in words is "two billion, two hundred twenty million, forty-four thousand, four hundred".
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