Search a number
-
+
200211022220220 = 22325113121319153001
BaseRepresentation
bin101101100001011101000010…
…110111000000101110111100
3222020212222122101011112201100
4231201131002313000232330
5202220224133142021340
61545451401320013100
760112524525511404
oct5541350267005674
9866788571145640
10200211022220220
1158880021609760
121a5562a2301190
138793a83cb554b
14376239d91b804
151822e34ee1830
hexb61742dc0bbc

200211022220220 has 288 divisors, whose sum is σ = 683924521512960. Its totient is φ = 46967817600000.

The previous prime is 200211022220207. The next prime is 200211022220233. The reversal of 200211022220220 is 22022220112002.

200211022220220 is a `hidden beast` number, since 200 + 2 + 1 + 1 + 0 + 22 + 220 + 220 = 666.

200211022220220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200211022220207) and next prime (200211022220233).

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

It is a junction number, because it is equal to n+sod(n) for n = 200211022220193 and 200211022220202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1308483720 + ... + 1308636720.

It is an arithmetic number, because the mean of its divisors is an integer number (2374737921920).

Almost surely, 2200211022220220 is an apocalyptic number.

200211022220220 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 200211022220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341962260756480).

200211022220220 is an abundant number, since it is smaller than the sum of its proper divisors (483713499292740).

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

200211022220220 is a wasteful number, since it uses less digits than its factorization.

200211022220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174377 (or 174372 counting only the distinct ones).

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

Adding to 200211022220220 its reverse (22022220112002), we get a palindrome (222233242332222).

The spelling of 200211022220220 in words is "two hundred trillion, two hundred eleven billion, twenty-two million, two hundred twenty thousand, two hundred twenty".