Search a number
-
+
2015200000 = 285511229
BaseRepresentation
bin111100000011101…
…1000001100000000
312012102221202201001
41320013120030000
513111342400000
6531544421344
7100636626442
oct17007301400
95172852631
102015200000
11944589650
12482a77854
13261669a48
141518d4492
15bbdb646a
hex781d8300

2015200000 has 216 divisors, whose sum is σ = 5508866160. Its totient is φ = 729600000.

The previous prime is 2015199997. The next prime is 2015200003. The reversal of 2015200000 is 25102.

It is an interprime number because it is at equal distance from previous prime (2015199997) and next prime (2015200003).

It is a super-2 number, since 2×20152000002 = 8122062080000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 2015200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2015200003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8799886 + ... + 8800114.

It is an arithmetic number, because the mean of its divisors is an integer number (25504010).

Almost surely, 22015200000 is an apocalyptic number.

2015200000 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 2015200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754433080).

2015200000 is an abundant number, since it is smaller than the sum of its proper divisors (3493666160).

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

2015200000 is an frugal number, since it uses more digits than its factorization.

2015200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 2015200000 is about 44890.9790492477. The cubic root of 2015200000 is about 1263.1047979630.

Adding to 2015200000 its reverse (25102), we get a palindrome (2015225102).

The spelling of 2015200000 in words is "two billion, fifteen million, two hundred thousand".