Search a number
-
+
230214176 = 25231671873
BaseRepresentation
bin11011011100011…
…00101000100000
3121001012002110222
431232030220200
5432413323201
634502142212
75463534233
oct1556145040
9531162428
10230214176
11108a4a355
1265121968
133890590a
142280941a
151532691b
hexdb8ca20

230214176 has 48 divisors (see below), whose sum is σ = 476025984. Its totient is φ = 109384704.

The previous prime is 230214143. The next prime is 230214181. The reversal of 230214176 is 671412032.

230214176 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121976 + ... + 123848.

It is an arithmetic number, because the mean of its divisors is an integer number (9917208).

Almost surely, 2230214176 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 230214176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238012992).

230214176 is an abundant number, since it is smaller than the sum of its proper divisors (245811808).

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

230214176 is a wasteful number, since it uses less digits than its factorization.

230214176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 230214176 is about 15172.8104186403. The cubic root of 230214176 is about 612.8826882945.

The spelling of 230214176 in words is "two hundred thirty million, two hundred fourteen thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 92 167 184 334 368 668 736 1336 1873 2672 3746 3841 5344 7492 7682 14984 15364 29968 30728 43079 59936 61456 86158 122912 172316 312791 344632 625582 689264 1251164 1378528 2502328 5004656 7194193 10009312 14388386 28776772 57553544 115107088 230214176