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230443444 = 227114715919
BaseRepresentation
bin11011011110001…
…00100110110100
3121001121201222101
431233010212310
5432443142234
634511111444
75465510530
oct1557044664
9531551871
10230443444
11109096630
1265212584
133898608a
1422868bc0
151536e814
hexdbc49b4

230443444 has 48 divisors (see below), whose sum is σ = 513515520. Its totient is φ = 87867360.

The previous prime is 230443427. The next prime is 230443469. The reversal of 230443444 is 444344032.

It is a super-2 number, since 2×2304434442 = 106208361765162272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6517 + ... + 22435.

It is an arithmetic number, because the mean of its divisors is an integer number (10698240).

Almost surely, 2230443444 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 230443444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256757760).

230443444 is an abundant number, since it is smaller than the sum of its proper divisors (283072076).

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

230443444 is a wasteful number, since it uses less digits than its factorization.

230443444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15988 (or 15986 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 230443444 is about 15180.3637637574. The cubic root of 230443444 is about 613.0860753763.

Adding to 230443444 its reverse (444344032), we get a palindrome (674787476).

The spelling of 230443444 in words is "two hundred thirty million, four hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 47 77 94 154 188 308 329 517 658 1034 1316 2068 3619 7238 14476 15919 31838 63676 111433 175109 222866 350218 445732 700436 748193 1225763 1496386 2451526 2992772 4903052 5237351 8230123 10474702 16460246 20949404 32920492 57610861 115221722 230443444