Search a number
-
+
229719360 = 26351379233
BaseRepresentation
bin11011011000100…
…11110101000000
3121000020221201110
431230103311000
5432302004420
634443403320
75456403513
oct1554236500
9530227643
10229719360
11108741612
1264b23540
1338791620
142271ad7a
1515279ee0
hexdb13d40

229719360 has 224 divisors, whose sum is σ = 798819840. Its totient is φ = 55590912.

The previous prime is 229719359. The next prime is 229719379. The reversal of 229719360 is 63917922.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 985804 + ... + 986036.

It is an arithmetic number, because the mean of its divisors is an integer number (3566160).

Almost surely, 2229719360 is an apocalyptic number.

229719360 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 229719360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399409920).

229719360 is an abundant number, since it is smaller than the sum of its proper divisors (569100480).

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

229719360 is a wasteful number, since it uses less digits than its factorization.

229719360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 229719360 is about 15156.4956371847. The cubic root of 229719360 is about 612.4432689369.

The spelling of 229719360 in words is "two hundred twenty-nine million, seven hundred nineteen thousand, three hundred sixty".