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2004400444220 = 225642715593593
BaseRepresentation
bin11101001010101111100…
…100111001001100111100
321002121201010001120121122
4131022233210321030330
5230320003003203340
64132450413450112
7264545624443346
oct35125744711474
97077633046548
102004400444220
11703074883749
122845717a0938
13117025121615
146d029082296
15372144a2db5
hex1d2af93933c

2004400444220 has 24 divisors (see below), whose sum is σ = 4209896133744. Its totient is φ = 801635377536.

The previous prime is 2004400444169. The next prime is 2004400444231. The reversal of 2004400444220 is 224440044002.

It is a super-2 number, since 2×20044004442202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2004400444220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7668257 + ... + 7925336.

It is an arithmetic number, because the mean of its divisors is an integer number (175412338906).

Almost surely, 22004400444220 is an apocalyptic number.

2004400444220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004400444220 is an abundant number, since it is smaller than the sum of its proper divisors (2205495689524).

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

2004400444220 is a wasteful number, since it uses less digits than its factorization.

2004400444220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15600029 (or 15600027 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 2004400444220 its reverse (224440044002), we get a palindrome (2228840488222).

The spelling of 2004400444220 in words is "two trillion, four billion, four hundred million, four hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 6427 12854 25708 32135 64270 128540 15593593 31187186 62374372 77967965 155935930 311871860 100220022211 200440044422 400880088844 501100111055 1002200222110 2004400444220