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2216144020 = 2251011097101
BaseRepresentation
bin1000010000010111…
…1010110010010100
312201110001210002011
42010011322302110
514014313102040
61003523354004
7105626625166
oct20405726224
95643053064
102216144020
11a37a56892
1251a222904
1329419492c
14170480936
15ce85a3ea
hex8417ac94

2216144020 has 24 divisors (see below), whose sum is σ = 4699984968. Its totient is φ = 877680000.

The previous prime is 2216144003. The next prime is 2216144053. The reversal of 2216144020 is 204416122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 126922756 + 2089221264 = 11266^2 + 45708^2 .

It is a super-2 number, since 2×22161440202 = 9822588634763520800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2216143982 and 2216144000.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 546531 + ... + 550570.

It is an arithmetic number, because the mean of its divisors is an integer number (195832707).

Almost surely, 22216144020 is an apocalyptic number.

2216144020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2216144020 is an abundant number, since it is smaller than the sum of its proper divisors (2483840948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2216144020 is a wasteful number, since it uses less digits than its factorization.

2216144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097211 (or 1097209 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2216144020 is about 47075.9388647746. The cubic root of 2216144020 is about 1303.7650261310.

The spelling of 2216144020 in words is "two billion, two hundred sixteen million, one hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 1097101 2194202 4388404 5485505 10971010 21942020 110807201 221614402 443228804 554036005 1108072010 2216144020