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20042224002 = 2327997145303
BaseRepresentation
bin10010101010100111…
…000001000110000010
31220201202222110200200
4102222213001012002
5312021302132002
613112434230030
71306444043643
oct225247010602
956652873620
1020042224002
118555349599
123a74125316
131b7536c858
14d81b576ca
157c480bb1c
hex4aa9c1182

20042224002 has 48 divisors (see below), whose sum is σ = 44428151040. Its totient is φ = 6528128256.

The previous prime is 20042223937. The next prime is 20042224009.

20042224002 is a `hidden beast` number, since 2 + 0 + 0 + 422 + 240 + 0 + 2 = 666.

20042224002 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20042224009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65283 + ... + 210585.

It is an arithmetic number, because the mean of its divisors is an integer number (925586480).

Almost surely, 220042224002 is an apocalyptic number.

20042224002 is an abundant number, since it is smaller than the sum of its proper divisors (24385927038).

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

20042224002 is a wasteful number, since it uses less digits than its factorization.

20042224002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145487 (or 145484 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The spelling of 20042224002 in words is "twenty billion, forty-two million, two hundred twenty-four thousand, two".

Divisors: 1 2 3 6 9 18 79 97 158 194 237 291 474 582 711 873 1422 1746 7663 15326 22989 45978 68967 137934 145303 290606 435909 871818 1307727 2615454 11478937 14094391 22957874 28188782 34436811 42283173 68873622 84566346 103310433 126849519 206620866 253699038 1113456889 2226913778 3340370667 6680741334 10021112001 20042224002