Search a number
-
+
2202020202000 = 24353367003367
BaseRepresentation
bin100000000010110010101…
…000011100011000010000
321210111210120111102121210
4200002302220130120100
5242034214132431000
64403332155020120
7315043053613563
oct40026250343020
97714716442553
102202020202000
11779964aa7713
122b692413a640
1312c85a281c38
1478814da84da
153c42d9a5350
hex200b2a1c610

2202020202000 has 80 divisors (see below), whose sum is σ = 7099313150592. Its totient is φ = 587205385600.

The previous prime is 2202020201951. The next prime is 2202020202013. The reversal of 2202020202000 is 2020202022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×22020202020002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 183495684 + ... + 183507683.

Almost surely, 22202020202000 is an apocalyptic number.

2202020202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202020202000 is an abundant number, since it is smaller than the sum of its proper divisors (4897292948592).

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

2202020202000 is a wasteful number, since it uses less digits than its factorization.

2202020202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367003393 (or 367003377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 2202020202000 its reverse (2020202022), we get a palindrome (2204040404022).

The spelling of 2202020202000 in words is "two trillion, two hundred two billion, twenty million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 367003367 734006734 1101010101 1468013468 1835016835 2202020202 2936026936 3670033670 4404040404 5505050505 5872053872 7340067340 8808080808 9175084175 11010101010 14680134680 17616161616 18350168350 22020202020 27525252525 29360269360 36700336700 44040404040 45875420875 55050505050 73400673400 88080808080 91750841750 110101010100 137626262625 146801346800 183501683500 220202020200 275252525250 367003367000 440404040400 550505050500 734006734000 1101010101000 2202020202000