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2002000022020 = 225197508121833
BaseRepresentation
bin11101001000100000100…
…000000000101000000100
321002101111211020111101201
4131020200200000220010
5230300044001201040
64131412304232244
7264432266261035
oct35104040005004
97071454214351
102002000022020
11702052902a49
1228400190b684
13116a31a1875b
146cc7c352a8c
1537123896a9a
hex1d220800a04

2002000022020 has 24 divisors (see below), whose sum is σ = 4225541171544. Its totient is φ = 796735032576.

The previous prime is 2002000021999. The next prime is 2002000022023. The reversal of 2002000022020 is 202200002002.

It can be written as a sum of positive squares in 4 ways, for example, as 144754377156 + 1857245644864 = 380466^2 + 1362808^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2002000021988 and 2002000022006.

It is not an unprimeable number, because it can be changed into a prime (2002000022023) 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, 254056977 + ... + 254064856.

It is an arithmetic number, because the mean of its divisors is an integer number (176064215481).

Almost surely, 22002000022020 is an apocalyptic number.

2002000022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002000022020 is an abundant number, since it is smaller than the sum of its proper divisors (2223541149524).

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

2002000022020 is a wasteful number, since it uses less digits than its factorization.

2002000022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508122039 (or 508122037 counting only the distinct ones).

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

Adding to 2002000022020 its reverse (202200002002), we get a palindrome (2204200024022).

The spelling of 2002000022020 in words is "two trillion, two billion, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 197 394 788 985 1970 3940 508121833 1016243666 2032487332 2540609165 5081218330 10162436660 100100001101 200200002202 400400004404 500500005505 1001000011010 2002000022020