Search a number
-
+
2147680200 = 2335219238191
BaseRepresentation
bin1000000000000010…
…1111111111001000
312112200020110101010
42000000233333020
513344301231300
6553040123520
7104135660211
oct20000577710
95480213333
102147680200
11a02344a16
124bb3065a0
13282c433b3
1416533c408
15c8834a50
hex8002ffc8

2147680200 has 192 divisors, whose sum is σ = 7313817600. Its totient is φ = 518918400.

The previous prime is 2147680187. The next prime is 2147680259. The reversal of 2147680200 is 20867412.

It is a super-2 number, since 2×21476802002 = 9225060482944080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258105 + ... + 266295.

It is an arithmetic number, because the mean of its divisors is an integer number (38092800).

Almost surely, 22147680200 is an apocalyptic number.

2147680200 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 2147680200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656908800).

2147680200 is an abundant number, since it is smaller than the sum of its proper divisors (5166137400).

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

2147680200 is a wasteful number, since it uses less digits than its factorization.

2147680200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8252 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2147680200 is about 46343.0706794446. The cubic root of 2147680200 is about 1290.1985152098.

The spelling of 2147680200 in words is "two billion, one hundred forty-seven million, six hundred eighty thousand, two hundred".