Search a number
-
+
2200110202000 = 24533449318949
BaseRepresentation
bin100000000001000000110…
…010010111110010010000
321210022212110111101012001
4200001000302113302100
5242021311202431000
64402414445043344
7314644532104504
oct40010062276220
97708773441161
102200110202000
11779074941417
122b6490556554
1312c614659819
14786b345a304
153c36ae6e46a
hex20040c97c90

2200110202000 has 80 divisors (see below), whose sum is σ = 5321425590000. Its totient is φ = 879786163200.

The previous prime is 2200110201983. The next prime is 2200110202051. The reversal of 2200110202000 is 2020110022.

It can be written as a sum of positive squares in 8 ways, for example, as 1515823891344 + 684286310656 = 1231188^2 + 827216^2 .

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

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

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, 6738526 + ... + 7057474.

It is an arithmetic number, because the mean of its divisors is an integer number (66517819875).

Almost surely, 22200110202000 is an apocalyptic number.

2200110202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200110202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660712795000).

2200110202000 is an abundant number, since it is smaller than the sum of its proper divisors (3121315388000).

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

2200110202000 is a wasteful number, since it uses less digits than its factorization.

2200110202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322421 (or 322405 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2200110202000 its reverse (2020110022), we get a palindrome (2202130312022).

The spelling of 2200110202000 in words is "two trillion, two hundred billion, one hundred ten million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 3449 6898 13796 17245 27592 34490 55184 68980 86225 137960 172450 275920 318949 344900 431125 637898 689800 862250 1275796 1379600 1594745 1724500 2551592 3189490 3449000 5103184 6378980 6898000 7973725 12757960 15947450 25515920 31894900 39868625 63789800 79737250 127579600 159474500 318949000 637898000 1100055101 2200110202 4400220404 5500275505 8800440808 11000551010 17600881616 22001102020 27501377525 44002204040 55002755050 88004408080 110005510100 137506887625 220011020200 275013775250 440022040400 550027550500 1100055101000 2200110202000