| Base | Representation |
|---|---|
| bin | 1000010100000000… |
| … | …1111110011001000 |
| 3 | 12202111211121121000 |
| 4 | 2011000033303020 |
| 5 | 14032221400230 |
| 6 | 1005231215000 |
| 7 | 106203610524 |
| oct | 20500176310 |
| 9 | 5674747530 |
| 10 | 2231434440 |
| 11 | a4564a7a4 |
| 12 | 523377460 |
| 13 | 2973b9511 |
| 14 | 172500d84 |
| 15 | d0d7ab60 |
| hex | 8500fcc8 |
2231434440 has 128 divisors (see below), whose sum is σ = 7465968000. Its totient is φ = 592821504.
The previous prime is 2231434421. The next prime is 2231434441. The reversal of 2231434440 is 444341322.
It is a happy number.
2231434440 is a `hidden beast` number, since 2 + 2 + 314 + 344 + 4 + 0 = 666.
It is a super-3 number, since 3×22314344403 (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 (27).
It is not an unprimeable number, because it can be changed into a prime (2231434441) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295431 + ... + 302889.
It is an arithmetic number, because the mean of its divisors is an integer number (58327875).
Almost surely, 22231434440 is an apocalyptic number.
2231434440 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 2231434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732984000).
2231434440 is an abundant number, since it is smaller than the sum of its proper divisors (5234533560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2231434440 is a wasteful number, since it uses less digits than its factorization.
2231434440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7756 (or 7746 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 27.
The square root of 2231434440 is about 47238.0613488742. The cubic root of 2231434440 is about 1306.7566250135.
Adding to 2231434440 its reverse (444341322), we get a palindrome (2675775762).
The spelling of 2231434440 in words is "two billion, two hundred thirty-one million, four hundred thirty-four thousand, four hundred forty".
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