Base | Representation |
---|---|
bin | 1000010110110100… |
… | …1101001010000100 |
3 | 12210100000101110221 |
4 | 2011231031022010 |
5 | 14043231020400 |
6 | 1010331554124 |
7 | 106406025202 |
oct | 20555151204 |
9 | 5710011427 |
10 | 2243220100 |
11 | a5126a510 |
12 | 5272bb944 |
13 | 299984a94 |
14 | 173ccc072 |
15 | d1e07c1a |
hex | 85b4d284 |
2243220100 has 144 divisors (see below), whose sum is σ = 5467275072. Its totient is φ = 792000000.
The previous prime is 2243220041. The next prime is 2243220101. The reversal of 2243220100 is 10223422.
It is not an unprimeable number, because it can be changed into a prime (2243220101) 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 47 ways as a sum of consecutive naturals, for example, 6776935 + ... + 6777265.
It is an arithmetic number, because the mean of its divisors is an integer number (37967188).
Almost surely, 22243220100 is an apocalyptic number.
2243220100 is a gapful number since it is divisible by the number (20) 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 2243220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733637536).
2243220100 is an abundant number, since it is smaller than the sum of its proper divisors (3224054972).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2243220100 is a wasteful number, since it uses less digits than its factorization.
2243220100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 518 (or 511 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 2243220100 is about 47362.6445629887. The cubic root of 2243220100 is about 1309.0531977276.
Adding to 2243220100 its reverse (10223422), we get a palindrome (2253443522).
The spelling of 2243220100 in words is "two billion, two hundred forty-three million, two hundred twenty thousand, one hundred".
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