Base | Representation |
---|---|
bin | 1000010011111110… |
… | …0110011101100000 |
3 | 12202111112000022220 |
4 | 2010333212131200 |
5 | 14032200440440 |
6 | 1005223431040 |
7 | 106202304060 |
oct | 20477463540 |
9 | 5674460286 |
10 | 2231265120 |
11 | a45544567 |
12 | 5232b5480 |
13 | 29735a426 |
14 | 1724993a0 |
15 | d0d458d0 |
hex | 84fe6760 |
2231265120 has 96 divisors (see below), whose sum is σ = 8032566528. Its totient is φ = 510002688.
The previous prime is 2231265103. The next prime is 2231265151. The reversal of 2231265120 is 215621322.
2231265120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-3 number, since 3×22312651203 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
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, 328674 + ... + 335393.
It is an arithmetic number, because the mean of its divisors is an integer number (83672568).
Almost surely, 22231265120 is an apocalyptic number.
2231265120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2231265120 is an abundant number, since it is smaller than the sum of its proper divisors (5801301408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2231265120 is a wasteful number, since it uses less digits than its factorization.
2231265120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 664092 (or 664084 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 24.
The square root of 2231265120 is about 47236.2691160087. The cubic root of 2231265120 is about 1306.7235721897.
Adding to 2231265120 its reverse (215621322), we get a palindrome (2446886442).
The spelling of 2231265120 in words is "two billion, two hundred thirty-one million, two hundred sixty-five thousand, one hundred twenty".
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