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BaseRepresentation
bin111011101010111…
…0111001111100000
312011112112022111022
41313111313033200
513100032020000
6530402305012
7100421406044
oct16725671740
95145468438
102002220000
11938223580
1247a658168
1325ba73981
1414dcb6024
15baba0585
hex775773e0

2002220000 has 240 divisors, whose sum is σ = 5668185600. Its totient is φ = 688320000.

The previous prime is 2002219991. The next prime is 2002220029. The reversal of 2002220000 is 222002.

Adding to 2002220000 its reverse (222002), we get a palindrome (2002442002).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2002220000.

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 39 ways as a sum of consecutive naturals, for example, 4179761 + ... + 4180239.

It is an arithmetic number, because the mean of its divisors is an integer number (23617440).

Almost surely, 22002220000 is an apocalyptic number.

2002220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834092800).

2002220000 is an abundant number, since it is smaller than the sum of its proper divisors (3665965600).

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

2002220000 is a wasteful number, since it uses less digits than its factorization.

2002220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 516 counting only the distinct ones).

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

The square root of 2002220000 is about 44746.1730207176. The cubic root of 2002220000 is about 1260.3870483064.

The spelling of 2002220000 in words is "two billion, two million, two hundred twenty thousand".