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4444000220 = 2251142147981
BaseRepresentation
bin1000010001110001…
…00000111111011100
3102110201011121020202
410020320200333130
533100131001340
62012550203032
7215061243602
oct41070407734
912421147222
104444000220
111980582160
12a40353478
1355a8ca53a
143022cd872
151b022ac15
hex108e20fdc

4444000220 has 48 divisors (see below), whose sum is σ = 10205195616. Its totient is φ = 1612128000.

The previous prime is 4444000217. The next prime is 4444000229. The reversal of 4444000220 is 220004444.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4444000192 and 4444000201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444000229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68630 + ... + 116610.

It is an arithmetic number, because the mean of its divisors is an integer number (212608242).

Almost surely, 24444000220 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 4444000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102597808).

4444000220 is an abundant number, since it is smaller than the sum of its proper divisors (5761195396).

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

4444000220 is a wasteful number, since it uses less digits than its factorization.

4444000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48422 (or 48420 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4444000220 is about 66663.3349000783. The cubic root of 4444000220 is about 1644.0866034774.

Adding to 4444000220 its reverse (220004444), we get a palindrome (4664004664).

The spelling of 4444000220 in words is "four billion, four hundred forty-four million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 421 842 1684 2105 4210 4631 8420 9262 18524 23155 46310 47981 92620 95962 191924 239905 479810 527791 959620 1055582 2111164 2638955 5277910 10555820 20200001 40400002 80800004 101000005 202000010 222200011 404000020 444400022 888800044 1111000055 2222000110 4444000220