| Base | Representation |
|---|---|
| bin | 1100110101001011101… |
| … | …0100000011000100000 |
| 3 | 210001222110012210121200 |
| 4 | 3031102322200120200 |
| 5 | 12102422201311200 |
| 6 | 245133254121200 |
| 7 | 21632366330355 |
| oct | 3152272403040 |
| 9 | 701873183550 |
| 10 | 220434400800 |
| 11 | 85538521a49 |
| 12 | 3687b050200 |
| 13 | 17a2c9c14b3 |
| 14 | a951d6462c |
| 15 | 5b023eb800 |
| hex | 3352ea0620 |
220434400800 has 432 divisors, whose sum is σ = 800265342240. Its totient is φ = 57060864000.
The previous prime is 220434400793. The next prime is 220434400807. The reversal of 220434400800 is 8004434022.
It is a happy number.
220434400800 is a `hidden beast` number, since 220 + 4 + 34 + 400 + 8 + 0 + 0 = 666.
220434400800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (220434400793) and next prime (220434400807).
It is a super-4 number, since 4×2204344008004 (a number of 46 digits) contains 4444 as substring.
It is not an unprimeable number, because it can be changed into a prime (220434400807) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62285431 + ... + 62288969.
It is an arithmetic number, because the mean of its divisors is an integer number (1852466070).
Almost surely, 2220434400800 is an apocalyptic number.
220434400800 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 220434400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400132671120).
220434400800 is an abundant number, since it is smaller than the sum of its proper divisors (579830941440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220434400800 is a wasteful number, since it uses less digits than its factorization.
220434400800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3817 (or 3801 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 27.
Adding to 220434400800 its reverse (8004434022), we get a palindrome (228438834822).
The spelling of 220434400800 in words is "two hundred twenty billion, four hundred thirty-four million, four hundred thousand, eight hundred".
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