Search a number
-
+
229230176 = 2571723541
BaseRepresentation
bin11011010100111…
…00011001100000
3120222100002200112
431222130121200
5432140331201
634425110452
75452265360
oct1552343140
9528302615
10229230176
1110843802a
1264928428
133864ca76
14226309a0
15151d00bb
hexda9c660

229230176 has 72 divisors (see below), whose sum is σ = 548046576. Its totient is φ = 92436480.

The previous prime is 229230149. The next prime is 229230223. The reversal of 229230176 is 671032922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 11 ways as a sum of consecutive naturals, for example, 62966 + ... + 66506.

It is an arithmetic number, because the mean of its divisors is an integer number (7611758).

Almost surely, 2229230176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229230176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274023288).

229230176 is an abundant number, since it is smaller than the sum of its proper divisors (318816400).

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

229230176 is a wasteful number, since it uses less digits than its factorization.

229230176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 229230176 is about 15140.3492694191. The cubic root of 229230176 is about 612.0082303420.

The spelling of 229230176 in words is "two hundred twenty-nine million, two hundred thirty thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 289 476 544 578 952 1156 1904 2023 2312 3541 3808 4046 4624 7082 8092 9248 14164 16184 24787 28328 32368 49574 56656 60197 64736 99148 113312 120394 198296 240788 396592 421379 481576 793184 842758 963152 1023349 1685516 1926304 2046698 3371032 4093396 6742064 7163443 8186792 13484128 14326886 16373584 28653772 32747168 57307544 114615088 229230176