| Base | Representation |
|---|---|
| bin | 1000011010110011… |
| … | …0111001101110000 |
| 3 | 12211111102012012120 |
| 4 | 2012230313031300 |
| 5 | 14112014014230 |
| 6 | 1012125354240 |
| 7 | 110000616300 |
| oct | 20654671560 |
| 9 | 5744365176 |
| 10 | 2259907440 |
| 11 | a5a7279aa |
| 12 | 530a08980 |
| 13 | 2a027844b |
| 14 | 1761d3600 |
| 15 | d3602310 |
| hex | 86b37370 |
2259907440 has 240 divisors, whose sum is σ = 8413747200. Its totient is φ = 499806720.
The previous prime is 2259907373. The next prime is 2259907457. The reversal of 2259907440 is 447099522.
2259907440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-3 number, since 3×22599074403 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a junction number, because it is equal to n+sod(n) for n = 2259907392 and 2259907401.
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, 361461 + ... + 367659.
It is an arithmetic number, because the mean of its divisors is an integer number (35057280).
Almost surely, 22259907440 is an apocalyptic number.
2259907440 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 2259907440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206873600).
2259907440 is an abundant number, since it is smaller than the sum of its proper divisors (6153839760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2259907440 is a wasteful number, since it uses less digits than its factorization.
2259907440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6260 (or 6247 counting only the distinct ones).
The product of its (nonzero) digits is 181440, while the sum is 42.
The square root of 2259907440 is about 47538.4837789343. The cubic root of 2259907440 is about 1312.2912023410.
The spelling of 2259907440 in words is "two billion, two hundred fifty-nine million, nine hundred seven thousand, four hundred forty".
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