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230908944 = 24372293001
BaseRepresentation
bin11011100001101…
…10010000010000
3121002111101112010
431300312100100
5433103041234
634525102520
75502456630
oct1560662020
9532441463
10230908944
11109384342
12653b7a40
1338ab9c16
142294a6c0
15154126e9
hexdc36410

230908944 has 80 divisors (see below), whose sum is σ = 684936320. Its totient is φ = 65664000.

The previous prime is 230908921. The next prime is 230908961. The reversal of 230908944 is 449809032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75444 + ... + 78444.

It is an arithmetic number, because the mean of its divisors is an integer number (8561704).

Almost surely, 2230908944 is an apocalyptic number.

230908944 is a gapful number since it is divisible by the number (24) 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 230908944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342468160).

230908944 is an abundant number, since it is smaller than the sum of its proper divisors (454027376).

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

230908944 is a wasteful number, since it uses less digits than its factorization.

230908944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 230908944 is about 15195.6883358405. The cubic root of 230908944 is about 613.4986127768.

The spelling of 230908944 in words is "two hundred thirty million, nine hundred eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 229 336 458 687 916 1374 1603 1832 2748 3001 3206 3664 4809 5496 6002 6412 9003 9618 10992 12004 12824 18006 19236 21007 24008 25648 36012 38472 42014 48016 63021 72024 76944 84028 126042 144048 168056 252084 336112 504168 687229 1008336 1374458 2061687 2748916 4123374 4810603 5497832 8246748 9621206 10995664 14431809 16493496 19242412 28863618 32986992 38484824 57727236 76969648 115454472 230908944