| Base | Representation |
|---|---|
| bin | 1011001011100011… |
| … | …0000010100101000 |
| 3 | 21202011022220012200 |
| 4 | 2302320300110220 |
| 5 | 22121303104230 |
| 6 | 1213450340200 |
| 7 | 134241653436 |
| oct | 26270602450 |
| 9 | 7664286180 |
| 10 | 3001222440 |
| 11 | 1300125927 |
| 12 | 6b912a660 |
| 13 | 38aa21a88 |
| 14 | 206843d56 |
| 15 | 128736160 |
| hex | b2e30528 |
3001222440 has 192 divisors, whose sum is σ = 10064854800. Its totient is φ = 775028736.
The previous prime is 3001222429. The next prime is 3001222493. The reversal of 3001222440 is 442221003.
3001222440 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 222 + 440 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 2528681796 + 472540644 = 50286^2 + 21738^2 .
It is a super-2 number, since 2×30012224402 = 18014672268719107200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3902376 + ... + 3903144.
Almost surely, 23001222440 is an apocalyptic number.
3001222440 is a gapful number since it is divisible by the number (30) 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 3001222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032427400).
3001222440 is an abundant number, since it is smaller than the sum of its proper divisors (7063632360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3001222440 is a wasteful number, since it uses less digits than its factorization.
3001222440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1116 (or 1109 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 3001222440 is about 54783.4139133369. The cubic root of 3001222440 is about 1442.4454396572.
Adding to 3001222440 its reverse (442221003), we get a palindrome (3443443443).
The spelling of 3001222440 in words is "three billion, one million, two hundred twenty-two thousand, four hundred forty".
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