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230444032 = 2107132473
BaseRepresentation
bin11011011110001…
…00110000000000
3121001121202210011
431233010300000
5432443202112
634511114304
75465512330
oct1557046000
9531552704
10230444032
11109097015
1265212994
1338986420
14228690c0
151536eaa7
hexdbc4c00

230444032 has 88 divisors (see below), whose sum is σ = 567199136. Its totient is φ = 91127808.

The previous prime is 230444023. The next prime is 230444041.

230444032 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (230444023) and next prime (230444041).

It is a junction number, because it is equal to n+sod(n) for n = 230443994 and 230444012.

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 7 ways as a sum of consecutive naturals, for example, 91948 + ... + 94420.

Almost surely, 2230444032 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 230444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283599568).

230444032 is an abundant number, since it is smaller than the sum of its proper divisors (336755104).

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

230444032 is a wasteful number, since it uses less digits than its factorization.

230444032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 230444032 is about 15180.3831308699. The cubic root of 230444032 is about 613.0865968265.

The spelling of 230444032 in words is "two hundred thirty million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1664 1792 2473 2912 3328 3584 4946 5824 6656 7168 9892 11648 13312 17311 19784 23296 32149 34622 39568 46592 64298 69244 79136 93184 128596 138488 158272 225043 257192 276976 316544 450086 514384 553952 633088 900172 1028768 1107904 1266176 1800344 2057536 2215808 2532352 3600688 4115072 4431616 7201376 8230144 8863232 14402752 16460288 17726464 28805504 32920576 57611008 115222016 230444032