| Base | Representation |
|---|---|
| bin | 1000011010111111… |
| … | …0101111000010000 |
| 3 | 12211112212212111000 |
| 4 | 2012233311320100 |
| 5 | 14112214012100 |
| 6 | 1012154222000 |
| 7 | 110010351165 |
| oct | 20657657020 |
| 9 | 5745785430 |
| 10 | 2260688400 |
| 11 | a60110723 |
| 12 | 531124900 |
| 13 | 2a048ca59 |
| 14 | 17635806c |
| 15 | d3708900 |
| hex | 86bf5e10 |
2260688400 has 480 divisors, whose sum is σ = 8856576000. Its totient is φ = 545149440.
The previous prime is 2260688389. The next prime is 2260688401. The reversal of 2260688400 is 48860622.
2260688400 is a `hidden beast` number, since 2 + 2 + 606 + 8 + 8 + 40 + 0 = 666.
2260688400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×22606884002 = 10221424083789120000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (2260688401) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4719361 + ... + 4719839.
It is an arithmetic number, because the mean of its divisors is an integer number (18451200).
Almost surely, 22260688400 is an apocalyptic number.
2260688400 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 2260688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428288000).
2260688400 is an abundant number, since it is smaller than the sum of its proper divisors (6595887600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2260688400 is a wasteful number, since it uses less digits than its factorization.
2260688400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 548 (or 531 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The square root of 2260688400 is about 47546.6970461672. The cubic root of 2260688400 is about 1312.4423484881.
The spelling of 2260688400 in words is "two billion, two hundred sixty million, six hundred eighty-eight thousand, four hundred".
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