Base | Representation |
---|---|
bin | 1000010010100000… |
… | …1000100101100000 |
3 | 12202001221110210220 |
4 | 2010220020211200 |
5 | 14024112112230 |
6 | 1004443523040 |
7 | 106066103124 |
oct | 20450104540 |
9 | 5661843726 |
10 | 2225113440 |
11 | a42022730 |
12 | 521229480 |
13 | 295cb5394 |
14 | 171737584 |
15 | d052cd10 |
hex | 84a08960 |
2225113440 has 96 divisors (see below), whose sum is σ = 7646317056. Its totient is φ = 539420160.
The previous prime is 2225113439. The next prime is 2225113441. The reversal of 2225113440 is 443115222.
It is an interprime number because it is at equal distance from previous prime (2225113439) and next prime (2225113441).
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×22251134402 = 9902259641737267200, which contains 22 as substring.
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 2225113440.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2225113441) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205432 + ... + 215991.
It is an arithmetic number, because the mean of its divisors is an integer number (79649136).
Almost surely, 22225113440 is an apocalyptic number.
2225113440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2225113440 is an abundant number, since it is smaller than the sum of its proper divisors (5421203616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2225113440 is a wasteful number, since it uses less digits than its factorization.
2225113440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 421452 (or 421444 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 24.
The square root of 2225113440 is about 47171.1081065518. The cubic root of 2225113440 is about 1305.5215718760.
Adding to 2225113440 its reverse (443115222), we get a palindrome (2668228662).
The spelling of 2225113440 in words is "two billion, two hundred twenty-five million, one hundred thirteen thousand, four hundred forty".
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