Base | Representation |
---|---|
bin | 100000011110000000111… |
… | …100000011100011000000 |
3 | 21220022020201212200212121 |
4 | 200132000330003203000 |
5 | 243024100310102230 |
6 | 4425004521534024 |
7 | 320126325504106 |
oct | 40360074034300 |
9 | 7808221780777 |
10 | 2231251253440 |
11 | 7902a5189270 |
12 | 300521644314 |
13 | 132538246891 |
14 | 79dc924bc76 |
15 | 3d08ed3c77a |
hex | 20780f038c0 |
2231251253440 has 112 divisors (see below), whose sum is σ = 5803354265760. Its totient is φ = 810360135680.
The previous prime is 2231251253323. The next prime is 2231251253501. The reversal of 2231251253440 is 443521521322.
It is a super-3 number, since 3×22312512534403 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 2231251253396 and 2231251253405.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2455914 + ... + 3239446.
Almost surely, 22231251253440 is an apocalyptic number.
2231251253440 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 2231251253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901677132880).
2231251253440 is an abundant number, since it is smaller than the sum of its proper divisors (3572103012320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2231251253440 is a wasteful number, since it uses less digits than its factorization.
2231251253440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 784370 (or 784360 counting only the distinct ones).
The product of its (nonzero) digits is 57600, while the sum is 34.
Adding to 2231251253440 its reverse (443521521322), we get a palindrome (2674772774762).
The spelling of 2231251253440 in words is "two trillion, two hundred thirty-one billion, two hundred fifty-one million, two hundred fifty-three thousand, four hundred forty".
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