| Base | Representation |
|---|---|
| bin | 100000011110010010001… |
| … | …010100010101000010000 |
| 3 | 21220022222212200221001200 |
| 4 | 200132102022202220100 |
| 5 | 243030143301412230 |
| 6 | 4425053324231200 |
| 7 | 320136435161625 |
| oct | 40362212425020 |
| 9 | 7808885627050 |
| 10 | 2231540263440 |
| 11 | 790433336804 |
| 12 | 3005a239b500 |
| 13 | 132583097307 |
| 14 | 7a0157a034c |
| 15 | 3d0aa3ca160 |
| hex | 207922a2a10 |
2231540263440 has 240 divisors, whose sum is σ = 7936321279536. Its totient is φ = 559986278400.
The previous prime is 2231540263367. The next prime is 2231540263487. The reversal of 2231540263440 is 443620451322.
2231540263440 is a `hidden beast` number, since 2 + 2 + 3 + 15 + 4 + 0 + 2 + 634 + 4 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 2801796624 + 2228738466816 = 52932^2 + 1492896^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-3 number, since 3×22315402634403 (a number of 38 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2231540263395 and 2231540263404.
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, 123137580 + ... + 123155700.
Almost surely, 22231540263440 is an apocalyptic number.
2231540263440 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 2231540263440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968160639768).
2231540263440 is an abundant number, since it is smaller than the sum of its proper divisors (5704781016096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2231540263440 is a wasteful number, since it uses less digits than its factorization.
2231540263440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 28218 (or 28209 counting only the distinct ones).
The product of its (nonzero) digits is 138240, while the sum is 36.
The spelling of 2231540263440 in words is "two trillion, two hundred thirty-one billion, five hundred forty million, two hundred sixty-three thousand, four hundred forty".
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