Search a number
-
+
2156083200 = 21132524679
BaseRepresentation
bin1000000010000011…
…0011100000000000
312120021001101010100
42000200303200000
513403424130300
6553540202400
7104300255565
oct20040634000
95507041110
102156083200
11a07064247
12502099400
132848c609b
141664c886c
15c9444700
hex80833800

2156083200 has 216 divisors, whose sum is σ = 7723333800. Its totient is φ = 574832640.

The previous prime is 2156083187. The next prime is 2156083207. The reversal of 2156083200 is 23806512.

2156083200 is a `hidden beast` number, since 2 + 1 + 560 + 83 + 20 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2156083207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 458461 + ... + 463139.

It is an arithmetic number, because the mean of its divisors is an integer number (35756175).

Almost surely, 22156083200 is an apocalyptic number.

2156083200 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 2156083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3861666900).

2156083200 is an abundant number, since it is smaller than the sum of its proper divisors (5567250600).

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

2156083200 is a wasteful number, since it uses less digits than its factorization.

2156083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717 (or 4689 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2156083200 is about 46433.6429757563. The cubic root of 2156083200 is about 1291.8789996176.

Adding to 2156083200 its reverse (23806512), we get a palindrome (2179889712).

The spelling of 2156083200 in words is "two billion, one hundred fifty-six million, eighty-three thousand, two hundred".