| Base | Representation |
|---|---|
| bin | 11010011110100… |
| … | …100101100100000 |
| 3 | 1010221212211100120 |
| 4 | 122132210230200 |
| 5 | 1402210102430 |
| 6 | 112025120240 |
| 7 | 14002553400 |
| oct | 3236445440 |
| 9 | 1127784316 |
| 10 | 444222240 |
| 11 | 20882a820 |
| 12 | 104929080 |
| 13 | 71055bc7 |
| 14 | 42dd6800 |
| 15 | 28eeb610 |
| hex | 1a7a4b20 |
444222240 has 576 divisors, whose sum is σ = 1898805888. Its totient is φ = 86016000.
The previous prime is 444222227. The next prime is 444222241. The reversal of 444222240 is 42222444.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 444222240.
It is not an unprimeable number, because it can be changed into a prime (444222241) by changing a digit.
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 95 ways as a sum of consecutive naturals, for example, 4398190 + ... + 4398290.
It is an arithmetic number, because the mean of its divisors is an integer number (3296538).
Almost surely, 2444222240 is an apocalyptic number.
444222240 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 444222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949402944).
444222240 is an abundant number, since it is smaller than the sum of its proper divisors (1454583648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
444222240 is a wasteful number, since it uses less digits than its factorization.
444222240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 161 (or 146 counting only the distinct ones).
The product of its (nonzero) digits is 4096, while the sum is 24.
The square root of 444222240 is about 21076.5803677921. The cubic root of 444222240 is about 763.0156268718.
Adding to 444222240 its reverse (42222444), we get a palindrome (486444684).
It can be divided in two parts, 4 and 44222240, that added together give a palindrome (44222244).
The spelling of 444222240 in words is "four hundred forty-four million, two hundred twenty-two thousand, two hundred forty".
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