Base | Representation |
---|---|
bin | 100000010111101010000… |
… | …000001111100010110000 |
3 | 21212122121221020112001212 |
4 | 200113222000033202300 |
5 | 242421110022233430 |
6 | 4421515234415252 |
7 | 316465205143565 |
oct | 40275200174260 |
9 | 7778557215055 |
10 | 2224424024240 |
11 | 788411409990 |
12 | 2bb137131528 |
13 | 1319ba9831a2 |
14 | 7993c62686c |
15 | 3cce079eb95 |
hex | 205ea00f8b0 |
2224424024240 has 160 divisors (see below), whose sum is σ = 5700547195200. Its totient is φ = 800487936000.
The previous prime is 2224424024209. The next prime is 2224424024261. The reversal of 2224424024240 is 424204244222.
It is a super-2 number, since 2×22244240242402 (a number of 25 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2224424024197 and 2224424024206.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237927086 + ... + 237936434.
It is an arithmetic number, because the mean of its divisors is an integer number (35628419970).
Almost surely, 22224424024240 is an apocalyptic number.
2224424024240 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 2224424024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850273597600).
2224424024240 is an abundant number, since it is smaller than the sum of its proper divisors (3476123170960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2224424024240 is a wasteful number, since it uses less digits than its factorization.
2224424024240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12151 (or 12145 counting only the distinct ones).
The product of its (nonzero) digits is 65536, while the sum is 32.
Adding to 2224424024240 its reverse (424204244222), we get a palindrome (2648628268462).
The spelling of 2224424024240 in words is "two trillion, two hundred twenty-four billion, four hundred twenty-four million, twenty-four thousand, two hundred forty".
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