Search a number
-
+
298116000 = 25325372132
BaseRepresentation
bin10001110001001…
…110001110100000
3202202221212021100
4101301032032200
51102304203000
645325354400
710246641600
oct2161161640
9682855240
10298116000
11143307a66
1283a08a00
13499bb400
142b842c00
151b28aa00
hex11c4e3a0

298116000 has 648 divisors, whose sum is σ = 1332706284. Its totient is φ = 62899200.

The previous prime is 298115959. The next prime is 298116001. The reversal of 298116000 is 611892.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 13046544 + 285069456 = 3612^2 + 16884^2 .

It is not an unprimeable number, because it can be changed into a prime (298116001) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 22931994 + ... + 22932006.

Almost surely, 2298116000 is an apocalyptic number.

298116000 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 298116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666353142).

298116000 is an abundant number, since it is smaller than the sum of its proper divisors (1034590284).

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

298116000 is a wasteful number, since it uses less digits than its factorization.

298116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 298116000 is about 17266.0360245194. The cubic root of 298116000 is about 668.0286600107.

Adding to 298116000 its reverse (611892), we get a palindrome (298727892).

It can be divided in two parts, 2981 and 16000, that added together give a palindrome (18981).

The spelling of 298116000 in words is "two hundred ninety-eight million, one hundred sixteen thousand".