Search a number
-
+
6228900000 = 253455769
BaseRepresentation
bin1011100110100010…
…10111100010100000
3121002002202220110000
411303101113202200
5100224044300000
62510030540000
7310233530211
oct56321274240
917062686400
106228900000
112707062844
12125a067600
1378363145b
14431395408
15266ca0000
hex1734578a0

6228900000 has 360 divisors, whose sum is σ = 22927087260. Its totient is φ = 1658880000.

The previous prime is 6228899987. The next prime is 6228900037. The reversal of 6228900000 is 98226.

It can be written as a sum of positive squares in 6 ways, for example, as 987719184 + 5241180816 = 31428^2 + 72396^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 8099616 + ... + 8100384.

Almost surely, 26228900000 is an apocalyptic number.

6228900000 is a gapful number since it is divisible by the number (60) 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 6228900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11463543630).

6228900000 is an abundant number, since it is smaller than the sum of its proper divisors (16698187260).

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

6228900000 is an frugal number, since it uses more digits than its factorization.

6228900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6228900000 is about 78923.3805662175. The cubic root of 6228900000 is about 1839.9405305291.

Adding to 6228900000 its reverse (98226), we get a palindrome (6228998226).

The spelling of 6228900000 in words is "six billion, two hundred twenty-eight million, nine hundred thousand".