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2200020002000 = 24531100010001
BaseRepresentation
bin100000000000111011011…
…010010010010011010000
321210022122011202202001022
4200000323122102103100
5242021120110031000
64402401503455012
7314642355316652
oct40007332222320
97708564682038
102200020002000
11779028a33867
122b64662b7468
1312c5cba67842
14786a549a6d2
153c3630a3585
hex2003b6924d0

2200020002000 has 40 divisors (see below), whose sum is σ = 5319648369672. Its totient is φ = 880008000000.

The previous prime is 2200020001997. The next prime is 2200020002003. The reversal of 2200020002000 is 2000200022.

It is an interprime number because it is at equal distance from previous prime (2200020001997) and next prime (2200020002003).

It can be written as a sum of positive squares in 4 ways, for example, as 636299763856 + 1563720238144 = 797684^2 + 1250488^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

2200020002000 is a modest number, since divided by 20002000 gives 22000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200020002003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550003001 + ... + 550007000.

Almost surely, 22200020002000 is an apocalyptic number.

2200020002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200020002000 is an abundant number, since it is smaller than the sum of its proper divisors (3119628367672).

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

2200020002000 is a wasteful number, since it uses less digits than its factorization.

2200020002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100010024 (or 1100010008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 2200020002000 its reverse (2000200022), we get a palindrome (2202020202022).

The spelling of 2200020002000 in words is "two trillion, two hundred billion, twenty million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1100010001 2200020002 4400040004 5500050005 8800080008 11000100010 17600160016 22000200020 27500250025 44000400040 55000500050 88000800080 110001000100 137501250125 220002000200 275002500250 440004000400 550005000500 1100010001000 2200020002000