| Base | Representation |
|---|---|
| bin | 1111101110011111… |
| … | …0001010001010000 |
| 3 | 101220012111202102210 |
| 4 | 3323213301101100 |
| 5 | 32121201203030 |
| 6 | 1534521312120 |
| 7 | 206420133351 |
| oct | 37347612120 |
| 9 | 11805452383 |
| 10 | 4221506640 |
| 11 | 1876a2646a |
| 12 | 999935640 |
| 13 | 523798b30 |
| 14 | 2c0933d28 |
| 15 | 19a92bbb0 |
| hex | fb9f1450 |
4221506640 has 640 divisors, whose sum is σ = 16198963200. Its totient is φ = 898007040.
The previous prime is 4221506633. The next prime is 4221506693. The reversal of 4221506640 is 466051224.
It is a super-2 number, since 2×42215066402 = 35642236623128179200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 4221506598 and 4221506607.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59457805 + ... + 59457875.
It is an arithmetic number, because the mean of its divisors is an integer number (25310880).
Almost surely, 24221506640 is an apocalyptic number.
4221506640 is a gapful number since it is divisible by the number (40) 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 4221506640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8099481600).
4221506640 is an abundant number, since it is smaller than the sum of its proper divisors (11977456560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4221506640 is a wasteful number, since it uses less digits than its factorization.
4221506640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 195 (or 189 counting only the distinct ones).
The product of its (nonzero) digits is 11520, while the sum is 30.
The square root of 4221506640 is about 64973.1224430533. The cubic root of 4221506640 is about 1616.1778816868.
Adding to 4221506640 its reverse (466051224), we get a palindrome (4687557864).
The spelling of 4221506640 in words is "four billion, two hundred twenty-one million, five hundred six thousand, six hundred forty".
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