Base | Representation |
---|---|
bin | 1000100111111011… |
… | …0100101000000000 |
3 | 12222022222111101110 |
4 | 2021332310220000 |
5 | 14220111301242 |
6 | 1021413203320 |
7 | 111236503554 |
oct | 21176645000 |
9 | 5868874343 |
10 | 2314947072 |
11 | a887aaaa9 |
12 | 547330540 |
13 | 2ab7a9689 |
14 | 17d63d864 |
15 | d837539c |
hex | 89fb4a00 |
2314947072 has 160 divisors (see below), whose sum is σ = 6478585344. Its totient is φ = 733593600.
The previous prime is 2314947059. The next prime is 2314947073. The reversal of 2314947072 is 2707494132.
It is a super-2 number, since 2×23149470722 = 10717959892322746368, which contains 22 as substring.
It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 2314947072.
It is not an unprimeable number, because it can be changed into a prime (2314947073) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2904178 + ... + 2904974.
Almost surely, 22314947072 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 2314947072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239292672).
2314947072 is an abundant number, since it is smaller than the sum of its proper divisors (4163638272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2314947072 is an equidigital number, since it uses as much as digits as its factorization.
2314947072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 910 (or 894 counting only the distinct ones).
The product of its (nonzero) digits is 84672, while the sum is 39.
The square root of 2314947072 is about 48113.8968698234. The cubic root of 2314947072 is about 1322.8594029171.
The spelling of 2314947072 in words is "two billion, three hundred fourteen million, nine hundred forty-seven thousand, seventy-two".
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