Base | Representation |
---|---|
bin | 1011101010010011… |
… | …0110110110000000 |
3 | 22002011001212002020 |
4 | 2322210312312000 |
5 | 22402314132000 |
6 | 1234335321440 |
7 | 140366315331 |
oct | 27244666600 |
9 | 8064055066 |
10 | 3130224000 |
11 | 1366a25692 |
12 | 734380280 |
13 | 3ab67ac67 |
14 | 219a24288 |
15 | 134c18ba0 |
hex | ba936d80 |
3130224000 has 128 divisors (see below), whose sum is σ = 10376851680. Its totient is φ = 834713600.
The previous prime is 3130223981. The next prime is 3130224049. The reversal of 3130224000 is 4220313.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15394 + ... + 80606.
Almost surely, 23130224000 is an apocalyptic number.
3130224000 is a gapful number since it is divisible by the number (30) 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 3130224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188425840).
3130224000 is an abundant number, since it is smaller than the sum of its proper divisors (7246627680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3130224000 is an equidigital number, since it uses as much as digits as its factorization.
3130224000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 65245 (or 65223 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 3130224000 is about 55948.4048029968. The cubic root of 3130224000 is about 1462.8230859003.
Adding to 3130224000 its reverse (4220313), we get a palindrome (3134444313).
The spelling of 3130224000 in words is "three billion, one hundred thirty million, two hundred twenty-four thousand".
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