Base | Representation |
---|---|
bin | 1000010100001011… |
… | …0101010001110000 |
3 | 12202120010001100201 |
4 | 2011002311101300 |
5 | 14032410042430 |
6 | 1005253524544 |
7 | 106212432601 |
oct | 20502652160 |
9 | 5676101321 |
10 | 2232112240 |
11 | a45a72a66 |
12 | 523643754 |
13 | 297595b97 |
14 | 172639da8 |
15 | d0e618ca |
hex | 850b5470 |
2232112240 has 80 divisors (see below), whose sum is σ = 5570455968. Its totient is φ = 828776448.
The previous prime is 2232112219. The next prime is 2232112247. The reversal of 2232112240 is 422112322.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-3 number, since 3×22321122403 (a number of 29 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2232112247) 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, 88039 + ... + 110521.
Almost surely, 22232112240 is an apocalyptic number.
2232112240 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 2232112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785227984).
2232112240 is an abundant number, since it is smaller than the sum of its proper divisors (3338343728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2232112240 is a wasteful number, since it uses less digits than its factorization.
2232112240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 22586 (or 22580 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 19.
The square root of 2232112240 is about 47245.2351036589. The cubic root of 2232112240 is about 1306.8889210769. Note that the first 3 decimals are identical.
Adding to 2232112240 its reverse (422112322), we get a palindrome (2654224562).
The spelling of 2232112240 in words is "two billion, two hundred thirty-two million, one hundred twelve thousand, two hundred forty".
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