Base | Representation |
---|---|
bin | 1000001111111001… |
… | …0001010001100000 |
3 | 12201022021220200021 |
4 | 2003332101101200 |
5 | 14013304421401 |
6 | 1003412403224 |
7 | 105603604450 |
oct | 20376212140 |
9 | 5638256607 |
10 | 2214138976 |
11 | a36907425 |
12 | 519616514 |
13 | 29394210a |
14 | 1700bbd60 |
15 | ce5b12a1 |
hex | 83f91460 |
2214138976 has 96 divisors (see below), whose sum is σ = 5272501248. Its totient is φ = 894727680.
The previous prime is 2214138967. The next prime is 2214138977. The reversal of 2214138976 is 6798314122.
It is a super-2 number, since 2×22141389762 = 9804822810084657152, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2214138977) 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, 362766 + ... + 368818.
It is an arithmetic number, because the mean of its divisors is an integer number (54921888).
Almost surely, 22214138976 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 2214138976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636250624).
2214138976 is an abundant number, since it is smaller than the sum of its proper divisors (3058362272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2214138976 is a wasteful number, since it uses less digits than its factorization.
2214138976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6164 (or 6156 counting only the distinct ones).
The product of its digits is 145152, while the sum is 43.
The square root of 2214138976 is about 47054.6381985878. The cubic root of 2214138976 is about 1303.3717161021.
The spelling of 2214138976 in words is "two billion, two hundred fourteen million, one hundred thirty-eight thousand, nine hundred seventy-six".
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