Base | Representation |
---|---|
bin | 1000101001001010… |
… | …0001101100010000 |
3 | 12222200200220212220 |
4 | 2022102201230100 |
5 | 14222422044100 |
6 | 1022120021040 |
7 | 111331426044 |
oct | 21222415420 |
9 | 5880626786 |
10 | 2320112400 |
11 | a90708871 |
12 | 549001780 |
13 | 2ac897798 |
14 | 1801c6024 |
15 | d8a45aa0 |
hex | 8a4a1b10 |
2320112400 has 120 divisors (see below), whose sum is σ = 7869344544. Its totient is φ = 582297600.
The previous prime is 2320112341. The next prime is 2320112407. The reversal of 2320112400 is 42110232.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 2320112400.
It is not an unprimeable number, because it can be changed into a prime (2320112407) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36466 + ... + 77265.
Almost surely, 22320112400 is an apocalyptic number.
2320112400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2320112400 is an abundant number, since it is smaller than the sum of its proper divisors (5549232144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2320112400 is a wasteful number, since it uses less digits than its factorization.
2320112400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 113769 (or 113758 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 2320112400 is about 48167.5450900292. The cubic root of 2320112400 is about 1323.8425682114.
Adding to 2320112400 its reverse (42110232), we get a palindrome (2362222632).
The spelling of 2320112400 in words is "two billion, three hundred twenty million, one hundred twelve thousand, four hundred".
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