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230444100 = 223252256049
BaseRepresentation
bin11011011110001…
…00110001000100
3121001121202212200
431233010301010
5432443202400
634511114500
75465512455
oct1557046104
9531552780
10230444100
11109097077
1265212a30
1338986473
142286912c
151536eb00
hexdbc4c44

230444100 has 54 divisors (see below), whose sum is σ = 722317050. Its totient is φ = 61451520.

The previous prime is 230444089. The next prime is 230444119. The reversal of 230444100 is 1444032.

It can be written as a sum of positive squares in 3 ways, for example, as 69255684 + 161188416 = 8322^2 + 12696^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 127125 + ... + 128924.

Almost surely, 2230444100 is an apocalyptic number.

230444100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230444100 is an abundant number, since it is smaller than the sum of its proper divisors (491872950).

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

230444100 is a wasteful number, since it uses less digits than its factorization.

230444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256069 (or 256059 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 230444100 is about 15180.3853706024. The cubic root of 230444100 is about 613.0866571302.

Adding to 230444100 its reverse (1444032), we get a palindrome (231888132).

It can be divided in two parts, 2304 and 44100, that multiplied together give a square (101606400 = 100802).

The spelling of 230444100 in words is "two hundred thirty million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 256049 512098 768147 1024196 1280245 1536294 2304441 2560490 3072588 3840735 4608882 5120980 6401225 7681470 9217764 11522205 12802450 15362940 19203675 23044410 25604900 38407350 46088820 57611025 76814700 115222050 230444100