Base | Representation |
---|---|
bin | 100000011110110100110… |
… | …111001110000111011000 |
3 | 21220101111110002120222221 |
4 | 200132310313032013120 |
5 | 243032341313314430 |
6 | 4425231201353424 |
7 | 320160034234444 |
oct | 40366467160730 |
9 | 7811443076887 |
10 | 2232122401240 |
11 | 7907019a4526 |
12 | 300725338874 |
13 | 13264687a854 |
14 | 7a06cc17824 |
15 | 3d0e156a57a |
hex | 207b4dce1d8 |
2232122401240 has 128 divisors (see below), whose sum is σ = 5398701451200. Its totient is φ = 827536343040.
The previous prime is 2232122401231. The next prime is 2232122401297. The reversal of 2232122401240 is 421042212322.
2232122401240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×22321224012403 (a number of 38 digits) contains 333 as substring.
It is a congruent number.
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, 228205150 + ... + 228214930.
Almost surely, 22232122401240 is an apocalyptic number.
2232122401240 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 2232122401240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699350725600).
2232122401240 is an abundant number, since it is smaller than the sum of its proper divisors (3166579049960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2232122401240 is a wasteful number, since it uses less digits than its factorization.
2232122401240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14885 (or 14881 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 25.
Adding to 2232122401240 its reverse (421042212322), we get a palindrome (2653164613562).
It can be divided in two parts, 2232122 and 401240, that added together give a palindrome (2633362).
The spelling of 2232122401240 in words is "two trillion, two hundred thirty-two billion, one hundred twenty-two million, four hundred one thousand, two hundred forty".
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