Search a number
-
+
2230121200 = 2452171941421
BaseRepresentation
bin1000010011101100…
…1111001011110000
312202102100220011111
42010323033023300
514031402334300
61005143123104
7106156501036
oct20473171360
95672326144
102230121200
11a4493307a
12522a43494
13297049858
1417227c556
15d0bbb9ba
hex84ecf2f0

2230121200 has 240 divisors, whose sum is σ = 6131795040. Its totient is φ = 774144000.

The previous prime is 2230121191. The next prime is 2230121207. The reversal of 2230121200 is 21210322.

2230121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230121207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5296990 + ... + 5297410.

It is an arithmetic number, because the mean of its divisors is an integer number (25549146).

Almost surely, 22230121200 is an apocalyptic number.

2230121200 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 2230121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065897520).

2230121200 is an abundant number, since it is smaller than the sum of its proper divisors (3901673840).

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

2230121200 is a wasteful number, since it uses less digits than its factorization.

2230121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2230121200 is about 47224.1590713906. The cubic root of 2230121200 is about 1306.5002246463.

Adding to 2230121200 its reverse (21210322), we get a palindrome (2251331522).

The spelling of 2230121200 in words is "two billion, two hundred thirty million, one hundred twenty-one thousand, two hundred".