[go: up one dir, main page]

Search a number
-
+
230210112 = 26311109001
BaseRepresentation
bin11011011100010…
…11101001000000
3121001011212220110
431232023221000
5432413210422
634502111320
75463516336
oct1556135100
9531155813
10230210112
11108a472a0
126511b540
1338903b02
1422807b56
151532560c
hexdb8ba40

230210112 has 56 divisors (see below), whose sum is σ = 664476192. Its totient is φ = 69760000.

The previous prime is 230210087. The next prime is 230210117. The reversal of 230210112 is 211012032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230210117) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 52389 + ... + 56612.

Almost surely, 2230210112 is an apocalyptic number.

230210112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230210112 is an abundant number, since it is smaller than the sum of its proper divisors (434266080).

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

230210112 is a wasteful number, since it uses less digits than its factorization.

230210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109027 (or 109017 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 230210112 is about 15172.6764942775. The cubic root of 230210112 is about 612.8790818414.

Adding to 230210112 its reverse (211012032), we get a palindrome (441222144).

The spelling of 230210112 in words is "two hundred thirty million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 109001 218002 327003 436004 654006 872008 1199011 1308012 1744016 2398022 2616024 3488032 3597033 4796044 5232048 6976064 7194066 9592088 10464096 14388132 19184176 20928192 28776264 38368352 57552528 76736704 115105056 230210112