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442420000220 = 225112011000001
BaseRepresentation
bin1100111000000100100…
…10010111010111011100
31120021222000021122201002
412130002102113113130
524222034010001340
6535124524005432
743651402645022
oct6340222272734
91507860248632
10442420000220
111606a1613420
12718b1690878
1332948b8caa3
14175add18712
15b795aa7715
hex67024975dc

442420000220 has 24 divisors (see below), whose sum is σ = 1013544001008. Its totient is φ = 160880000000.

The previous prime is 442420000219. The next prime is 442420000261. The reversal of 442420000220 is 22000024244.

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 = 442420000192 and 442420000201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1005499781 + ... + 1005500220.

It is an arithmetic number, because the mean of its divisors is an integer number (42231000042).

Almost surely, 2442420000220 is an apocalyptic number.

It is an amenable number.

442420000220 is an abundant number, since it is smaller than the sum of its proper divisors (571124000788).

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

442420000220 is a wasteful number, since it uses less digits than its factorization.

442420000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011000021 (or 2011000019 counting only the distinct ones).

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

Adding to 442420000220 its reverse (22000024244), we get a palindrome (464420024464).

The spelling of 442420000220 in words is "four hundred forty-two billion, four hundred twenty million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 2011000001 4022000002 8044000004 10055000005 20110000010 22121000011 40220000020 44242000022 88484000044 110605000055 221210000110 442420000220