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2002220020000 = 2554100111001
BaseRepresentation
bin11101001000101101100…
…111001111000100100000
321002102002011012112220001
4131020231213033010200
5230301021311120000
64131450203425344
7264440610235414
oct35105547170440
97072064175801
102002220020000
11702156004762
12284063525254
13116a68485285
146cc9d65cd44
1537137d5146a
hex1d22d9cf120

2002220020000 has 60 divisors (see below), whose sum is σ = 4925761631406. Its totient is φ = 800888000000.

The previous prime is 2002220019907. The next prime is 2002220020001. The reversal of 2002220020000 is 200222002.

It can be written as a sum of positive squares in 5 ways, for example, as 436475664 + 2001783544336 = 20892^2 + 1414844^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2002220020001) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 50035501 + ... + 50075500.

Almost surely, 22002220020000 is an apocalyptic number.

2002220020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002220020000 is an abundant number, since it is smaller than the sum of its proper divisors (2923541611406).

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

2002220020000 is an equidigital number, since it uses as much as digits as its factorization.

2002220020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100111031 (or 100111008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 2002220020000 its reverse (200222002), we get a palindrome (2002420242002).

2002220020000 divided by its reverse (200222002) gives a 4-th power (10000 = 104).

The spelling of 2002220020000 in words is "two trillion, two billion, two hundred twenty million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 100111001 200222002 400444004 500555005 800888008 1001110010 1601776016 2002220020 2502775025 3203552032 4004440040 5005550050 8008880080 10011100100 12513875125 16017760160 20022200200 25027750250 40044400400 50055500500 62569375625 80088800800 100111001000 125138751250 200222002000 250277502500 400444004000 500555005000 1001110010000 2002220020000