Search a number
-
+
2220010000200 = 2333521362730169
BaseRepresentation
bin100000010011100010111…
…010000100111101001000
321212020020022110212102000
4200103202322010331020
5242333040030001300
64415505234511000
7316250626436046
oct40234272047510
97766208425360
102220010000200
11786556851333
122ba304a35460
1313146634cb45
14796402db396
153cb32ee5c00
hex204e2e84f48

2220010000200 has 192 divisors, whose sum is σ = 7647515736000. Its totient is φ = 591939601920.

The previous prime is 2220010000193. The next prime is 2220010000277. The reversal of 2220010000200 is 20000100222.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73570716 + ... + 73600884.

It is an arithmetic number, because the mean of its divisors is an integer number (39830811125).

Almost surely, 22220010000200 is an apocalyptic number.

2220010000200 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 2220010000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823757868000).

2220010000200 is an abundant number, since it is smaller than the sum of its proper divisors (5427505735800).

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

2220010000200 is a wasteful number, since it uses less digits than its factorization.

2220010000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43821 (or 43806 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2220010000200 its reverse (20000100222), we get a palindrome (2240010100422).

The spelling of 2220010000200 in words is "two trillion, two hundred twenty billion, ten million, two hundred", and thus it is an aban number.