Search a number
-
+
299228160 = 21035711223
BaseRepresentation
bin10001110101011…
…101110000000000
3202212001100212110
4101311131300000
51103100300120
645405255320
710262253210
oct2165356000
9685040773
10299228160
111439a7600
1284264540
1349cba6aa
142ba52240
151b40a2e0
hex11d5dc00

299228160 has 528 divisors, whose sum is σ = 1254532608. Its totient is φ = 59473920.

The previous prime is 299228147. The next prime is 299228191. The reversal of 299228160 is 61822992.

299228160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13009909 + ... + 13009931.

Almost surely, 2299228160 is an apocalyptic number.

299228160 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 299228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627266304).

299228160 is an abundant number, since it is smaller than the sum of its proper divisors (955304448).

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

299228160 is a wasteful number, since it uses less digits than its factorization.

299228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 299228160 is about 17298.2126244303. The cubic root of 299228160 is about 668.8583513262.

The spelling of 299228160 in words is "two hundred ninety-nine million, two hundred twenty-eight thousand, one hundred sixty".