| Base | Representation |
|---|---|
| bin | 111100111000111… |
| … | …1001001011100000 |
| 3 | 12021101111101001000 |
| 4 | 1321301321023200 |
| 5 | 13141014404100 |
| 6 | 534423112000 |
| 7 | 101426153034 |
| oct | 17161711340 |
| 9 | 5241441030 |
| 10 | 2043122400 |
| 11 | 959320110 |
| 12 | 4902a2600 |
| 13 | 267395187 |
| 14 | 1554c21c4 |
| 15 | be57e900 |
| hex | 79c792e0 |
2043122400 has 288 divisors, whose sum is σ = 8061984000. Its totient is φ = 495244800.
The previous prime is 2043122371. The next prime is 2043122429. The reversal of 2043122400 is 42213402.
2043122400 is digitally balanced in base 4, 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 (2043122371) and next prime (2043122429).
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233301 + ... + 241899.
It is an arithmetic number, because the mean of its divisors is an integer number (27993000).
Almost surely, 22043122400 is an apocalyptic number.
2043122400 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 2043122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030992000).
2043122400 is an abundant number, since it is smaller than the sum of its proper divisors (6018861600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2043122400 is a wasteful number, since it uses less digits than its factorization.
2043122400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8639 (or 8620 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 2043122400 is about 45200.9114952343. The cubic root of 2043122400 is about 1268.9118751294.
Adding to 2043122400 its reverse (42213402), we get a palindrome (2085335802).
The spelling of 2043122400 in words is "two billion, forty-three million, one hundred twenty-two thousand, four hundred".
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