Base | Representation |
---|---|
bin | 1000110100110010… |
… | …1110001000000000 |
3 | 20010002112201020000 |
4 | 2031030232020000 |
5 | 14322421001422 |
6 | 1031022120000 |
7 | 112463335314 |
oct | 21514561000 |
9 | 6102481200 |
10 | 2368922112 |
11 | 1006216277 |
12 | 561420000 |
13 | 2b9a2717b |
14 | 18688db44 |
15 | dce87cac |
hex | 8d32e200 |
2368922112 has 150 divisors (see below), whose sum is σ = 7100316663. Its totient is φ = 786336768.
The previous prime is 2368922057. The next prime is 2368922119. The reversal of 2368922112 is 2112298632.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in only one way, i.e., 1184461056 + 1184461056 = 34416^2 + 34416^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=34416.
It is a super-2 number, since 2×23689221122 = 11223583945445081088, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is not an unprimeable number, because it can be changed into a prime (2368922119) 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 14 ways as a sum of consecutive naturals, for example, 9911689 + ... + 9911927.
Almost surely, 22368922112 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2368922112
2368922112 is an abundant number, since it is smaller than the sum of its proper divisors (4731394551).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2368922112 is an frugal number, since it uses more digits than its factorization.
2368922112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 508 (or 244 counting only the distinct ones).
The product of its digits is 20736, while the sum is 36.
The square root of 2368922112 is about 48671.5739626324. The cubic root of 2368922112 is about 1333.0617295662.
The spelling of 2368922112 in words is "two billion, three hundred sixty-eight million, nine hundred twenty-two thousand, one hundred twelve".
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