Search a number
-
+
2000222220100 = 2252131937972189
BaseRepresentation
bin11101000110110110100…
…010001110111101000100
321002012220220222210122011
4131012312202032331010
5230232423342020400
64130520035544004
7264340241226046
oct35066642167504
97065826883564
102000222220100
11701320330065
122837a645b004
1311680a5cb460
146cb501b7a96
153706c7758ba
hex1d1b688ef44

2000222220100 has 72 divisors (see below), whose sum is σ = 4698585564680. Its totient is φ = 734716846080.

The previous prime is 2000222220077. The next prime is 2000222220173. The reversal of 2000222220100 is 10222220002.

It can be written as a sum of positive squares in 12 ways, for example, as 1719832907776 + 280389312324 = 1311424^2 + 529518^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3735195 + ... + 4236994.

Almost surely, 22000222220100 is an apocalyptic number.

2000222220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000222220100 is an abundant number, since it is smaller than the sum of its proper divisors (2698363344580).

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

2000222220100 is a wasteful number, since it uses less digits than its factorization.

2000222220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7972409 (or 7972402 counting only the distinct ones).

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

Adding to 2000222220100 its reverse (10222220002), we get a palindrome (2010444440102).

The spelling of 2000222220100 in words is "two trillion, two hundred twenty-two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 193 260 325 386 650 772 965 1300 1930 2509 3860 4825 5018 9650 10036 12545 19300 25090 50180 62725 125450 250900 7972189 15944378 31888756 39860945 79721890 103638457 159443780 199304725 207276914 398609450 414553828 518192285 797218900 1036384570 1538632477 2072769140 2590961425 3077264954 5181922850 6154529908 7693162385 10363845700 15386324770 20002222201 30772649540 38465811925 40004444402 76931623850 80008888804 100011111005 153863247700 200022222010 400044444020 500055555025 1000111110050 2000222220100