Search a number
-
+
2200020000020 = 2251136731446449
BaseRepresentation
bin100000000000111011011…
…010010001110100010100
321210022122011202122022222
4200000323122101310110
5242021120110000040
64402401503441512
7314642355311123
oct40007332216424
97708564678288
102200020000020
11779028a32327
122b64662b6298
1312c5cba6697b
14786a5499aba
153c3630a2bb5
hex2003b691d14

2200020000020 has 48 divisors (see below), whose sum is σ = 4667856152400. Its totient is φ = 870923698176.

The previous prime is 2200020000019. The next prime is 2200020000053. The reversal of 2200020000020 is 200000200022.

It can be written as a sum of positive squares in 8 ways, for example, as 339229364356 + 1860790635664 = 582434^2 + 1364108^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2200019999962 and 2200020000007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797756 + ... + 2244204.

It is an arithmetic number, because the mean of its divisors is an integer number (97247003175).

Almost surely, 22200020000020 is an apocalyptic number.

2200020000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200020000020 is an abundant number, since it is smaller than the sum of its proper divisors (2467836152380).

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

2200020000020 is a wasteful number, since it uses less digits than its factorization.

2200020000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447244 (or 1447242 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 2200020000020 its reverse (200000200022), we get a palindrome (2400020200042).

The spelling of 2200020000020 in words is "two trillion, two hundred billion, twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 113 226 452 565 673 1130 1346 2260 2692 3365 6730 13460 76049 152098 304196 380245 760490 1446449 1520980 2892898 5785796 7232245 14464490 28928980 163448737 326897474 653794948 817243685 973460177 1634487370 1946920354 3268974740 3893840708 4867300885 9734601770 19469203540 110001000001 220002000002 440004000004 550005000005 1100010000010 2200020000020