Search a number
-
+
200210220220104 = 23322780697503057
BaseRepresentation
bin101101100001011100010011…
…000011100111111011001000
3222020212220120111001201101100
4231201130103003213323020
5202220221012334020404
61545451145550221400
760112465616564553
oct5541342303477310
9866786514051340
10200210220220104
115887a74a932146
121a5560b97b4860
138793986ab2173
1437623251d169a
151822dd98c1d39
hexb617130e7ec8

200210220220104 has 24 divisors (see below), whose sum is σ = 542236013096310. Its totient is φ = 66736740073344.

The previous prime is 200210220220093. The next prime is 200210220220111. The reversal of 200210220220104 is 401022022012002.

200210220220104 is a `hidden beast` number, since 2 + 0 + 0 + 210 + 220 + 220 + 10 + 4 = 666.

200210220220104 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 155178094702500 + 45032125517604 = 12457050^2 + 6710598^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1390348751457 + ... + 1390348751600.

Almost surely, 2200210220220104 is an apocalyptic number.

200210220220104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200210220220104 is an abundant number, since it is smaller than the sum of its proper divisors (342025792876206).

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

200210220220104 is a wasteful number, since it uses less digits than its factorization.

200210220220104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780697503069 (or 2780697503062 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200210220220104 its reverse (401022022012002), we get a palindrome (601232242232106).

The spelling of 200210220220104 in words is "two hundred trillion, two hundred ten billion, two hundred twenty million, two hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2780697503057 5561395006114 8342092509171 11122790012228 16684185018342 22245580024456 25026277527513 33368370036684 50052555055026 66736740073368 100105110110052 200210220220104