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2228310000 = 2435547131
BaseRepresentation
bin1000010011010001…
…0100111111110000
312202021221212200000
42010310110333300
514030421410000
61005040230000
7106135215420
oct20464247760
95667855600
102228310000
11a43906314
1252230b300
13296864337
14171d2a480
15d0960000
hex84d14ff0

2228310000 has 600 divisors, whose sum is σ = 9306321024. Its totient is φ = 505440000.

The previous prime is 2228309981. The next prime is 2228310001. The reversal of 2228310000 is 138222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×22283100002 = 9930730912200000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228310001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17009935 + ... + 17010065.

Almost surely, 22228310000 is an apocalyptic number.

2228310000 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 2228310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653160512).

2228310000 is an abundant number, since it is smaller than the sum of its proper divisors (7078011024).

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

2228310000 is an equidigital number, since it uses as much as digits as its factorization.

2228310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2228310000 is about 47204.9785509961. The cubic root of 2228310000 is about 1306.1464360862.

Adding to 2228310000 its reverse (138222), we get a palindrome (2228448222).

The spelling of 2228310000 in words is "two billion, two hundred twenty-eight million, three hundred ten thousand".