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2002010222020 = 225178169561829
BaseRepresentation
bin11101001000100001000…
…110111010110111000100
321002101112112102201011111
4131020201012322313010
5230300104104101040
64131413311014404
7264432452052454
oct35104106726704
97071475381144
102002010222020
1170205863a3a6
1228400520a404
13116a33b7a363
146cc7d849d64
153712470ddea
hex1d2211badc4

2002010222020 has 24 divisors (see below), whose sum is σ = 4204252546200. Its totient is φ = 800798168832.

The previous prime is 2002010221999. The next prime is 2002010222027. The reversal of 2002010222020 is 202220102002.

It can be written as a sum of positive squares in 4 ways, for example, as 31148014144 + 1970862207876 = 176488^2 + 1403874^2 .

It is not an unprimeable number, because it can be changed into a prime (2002010222027) 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 7 ways as a sum of consecutive naturals, for example, 3282466 + ... + 3844294.

It is an arithmetic number, because the mean of its divisors is an integer number (175177189425).

Almost surely, 22002010222020 is an apocalyptic number.

2002010222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002010222020 is an abundant number, since it is smaller than the sum of its proper divisors (2202242324180).

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

2002010222020 is a wasteful number, since it uses less digits than its factorization.

2002010222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740007 (or 740005 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2002010222020 its reverse (202220102002), we get a palindrome (2204230324022).

The spelling of 2002010222020 in words is "two trillion, two billion, ten million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 178169 356338 561829 712676 890845 1123658 1781690 2247316 2809145 3563380 5618290 11236580 100100511101 200201022202 400402044404 500502555505 1001005111010 2002010222020