Search a number
-
+
2220030000 = 243254171451
BaseRepresentation
bin1000010001010010…
…1111100000110000
312201201101012122100
42010110233200300
514021311430000
61004142540400
7106004641446
oct20424574060
95651335570
102220030000
11a3a170441
1251b597700
13294c25626
14170bb2b96
15ced76a00
hex8452f830

2220030000 has 300 divisors, whose sum is σ = 8226123048. Its totient is φ = 556800000.

The previous prime is 2220029971. The next prime is 2220030023. The reversal of 2220030000 is 300222.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1529275 + ... + 1530725.

Almost surely, 22220030000 is an apocalyptic number.

2220030000 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 2220030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113061524).

2220030000 is an abundant number, since it is smaller than the sum of its proper divisors (6006093048).

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

2220030000 is a wasteful number, since it uses less digits than its factorization.

2220030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2220030000 is about 47117.1943137534. The cubic root of 2220030000 is about 1304.5266262136.

Adding to 2220030000 its reverse (300222), we get a palindrome (2220330222).

The spelling of 2220030000 in words is "two billion, two hundred twenty million, thirty thousand".