Base | Representation |
---|---|
bin | 111111110101111… |
… | …0101011000000000 |
3 | 12112021220220011211 |
4 | 1333223311120000 |
5 | 13341400302443 |
6 | 552322415504 |
7 | 104041243012 |
oct | 17753653000 |
9 | 5467826154 |
10 | 2142197248 |
11 | 9aa23a554 |
12 | 4b9501594 |
13 | 281a73849 |
14 | 1647121b2 |
15 | c810019d |
hex | 7faf5600 |
2142197248 has 80 divisors (see below), whose sum is σ = 4414940640. Its totient is φ = 1037910016.
The previous prime is 2142197243. The next prime is 2142197257. The reversal of 2142197248 is 8427912412.
It is a self number, because there is not a number n which added to its sum of digits gives 2142197248.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2142197243) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2414661 + ... + 2415547.
It is an arithmetic number, because the mean of its divisors is an integer number (55186758).
Almost surely, 22142197248 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 2142197248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207470320).
2142197248 is an abundant number, since it is smaller than the sum of its proper divisors (2272743392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2142197248 is an frugal number, since it uses more digits than its factorization.
2142197248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1047 (or 1031 counting only the distinct ones).
The product of its digits is 64512, while the sum is 40.
The square root of 2142197248 is about 46283.8767607036. The cubic root of 2142197248 is about 1289.0996357374.
It can be divided in two parts, 2 and 142197248, that multiplied together give a square (284394496 = 168642).
The spelling of 2142197248 in words is "two billion, one hundred forty-two million, one hundred ninety-seven thousand, two hundred forty-eight".
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