| Base | Representation |
|---|---|
| bin | 11000001001110… |
| … | …011101111111010 |
| 3 | 1001020111112102200 |
| 4 | 120021303233322 |
| 5 | 1312214140232 |
| 6 | 104113211030 |
| 7 | 13020231240 |
| oct | 3011635772 |
| 9 | 1036445380 |
| 10 | 405224442 |
| 11 | 198814137 |
| 12 | b3860a76 |
| 13 | 65c5059c |
| 14 | 3bb64790 |
| 15 | 2589677c |
| hex | 18273bfa |
405224442 has 96 divisors (see below), whose sum is σ = 1063176192. Its totient is φ = 109039392.
The previous prime is 405224437. The next prime is 405224447. The reversal of 405224442 is 244422504.
It is an interprime number because it is at equal distance from previous prime (405224437) and next prime (405224447).
It is a super-2 number, since 2×4052244422 = 328413696788422728, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (405224447) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 193123 + ... + 195209.
It is an arithmetic number, because the mean of its divisors is an integer number (11074752).
Almost surely, 2405224442 is an apocalyptic number.
405224442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 405224442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531588096).
405224442 is an abundant number, since it is smaller than the sum of its proper divisors (657951750).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
405224442 is a wasteful number, since it uses less digits than its factorization.
405224442 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2192 (or 2189 counting only the distinct ones).
The product of its (nonzero) digits is 10240, while the sum is 27.
The square root of 405224442 is about 20130.1873314681. The cubic root of 405224442 is about 740.0002690527. Note that the first 3 decimals are identical.
Adding to 405224442 its reverse (244422504), we get a palindrome (649646946).
The spelling of 405224442 in words is "four hundred five million, two hundred twenty-four thousand, four hundred forty-two".
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