| Base | Representation |
|---|---|
| bin | 111100010100101… |
| … | …1000000001011100 |
| 3 | 12020001201112222021 |
| 4 | 1320221120001130 |
| 5 | 13121133042340 |
| 6 | 532503425524 |
| 7 | 101105445544 |
| oct | 17051300134 |
| 9 | 5201645867 |
| 10 | 2024112220 |
| 11 | 949616519 |
| 12 | 485a552a4 |
| 13 | 26346a450 |
| 14 | 152b74324 |
| 15 | bca76e4a |
| hex | 78a5805c |
2024112220 has 48 divisors (see below), whose sum is σ = 4593949920. Its totient is φ = 744696576.
The previous prime is 2024112193. The next prime is 2024112221. The reversal of 2024112220 is 222114202.
It is a junction number, because it is equal to n+sod(n) for n = 2024112194 and 2024112203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2024112221) 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 15 ways as a sum of consecutive naturals, for example, 59826 + ... + 87334.
It is an arithmetic number, because the mean of its divisors is an integer number (95707290).
Almost surely, 22024112220 is an apocalyptic number.
2024112220 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 2024112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296974960).
2024112220 is an abundant number, since it is smaller than the sum of its proper divisors (2569837700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2024112220 is a wasteful number, since it uses less digits than its factorization.
2024112220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27814 (or 27812 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 16.
The square root of 2024112220 is about 44990.1346963976. The cubic root of 2024112220 is about 1264.9640863223.
Adding to 2024112220 its reverse (222114202), we get a palindrome (2246226422).
It can be divided in two parts, 2024 and 112220, that added together give a square (114244 = 3382).
The spelling of 2024112220 in words is "two billion, twenty-four million, one hundred twelve thousand, two hundred twenty".
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