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230441232 = 24372329819
BaseRepresentation
bin11011011110001…
…00000100010000
3121001121121221110
431233010010100
5432443104412
634511053320
75465501220
oct1557040420
9531547843
10230441232
111090949aa
1265211240
1338985078
1422868080
151536dd3c
hexdbc4110

230441232 has 80 divisors (see below), whose sum is σ = 709954560. Its totient is φ = 62975616.

The previous prime is 230441231. The next prime is 230441269. The reversal of 230441232 is 232144032.

It is a super-2 number, since 2×2304412322 = 106206322811355648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 230441199 and 230441208.

It is not an unprimeable number, because it can be changed into a prime (230441231) by changing a digit.

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, 7182 + ... + 22637.

It is an arithmetic number, because the mean of its divisors is an integer number (8874432).

Almost surely, 2230441232 is an apocalyptic number.

It is an amenable number.

230441232 is an abundant number, since it is smaller than the sum of its proper divisors (479513328).

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

230441232 is a wasteful number, since it uses less digits than its factorization.

230441232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29860 (or 29854 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 230441232 is about 15180.2909063035. The cubic root of 230441232 is about 613.0841137226.

Adding to 230441232 its reverse (232144032), we get a palindrome (462585264).

The spelling of 230441232 in words is "two hundred thirty million, four hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 29819 59638 89457 119276 178914 208733 238552 357828 417466 477104 626199 685837 715656 834932 1252398 1371674 1431312 1669864 2057511 2504796 2743348 3339728 4115022 4800859 5009592 5486696 8230044 9601718 10019184 10973392 14402577 16460088 19203436 28805154 32920176 38406872 57610308 76813744 115220616 230441232