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230444412 = 2231113712743
BaseRepresentation
bin11011011110001…
…00110101111100
3121001121210022020
431233010311330
5432443210122
634511120140
75465513412
oct1557046574
9531553266
10230444412
11109097330
1265213050
1338986653
14228692b2
151536ec5c
hexdbc4d7c

230444412 has 48 divisors (see below), whose sum is σ = 590913792. Its totient is φ = 69316480.

The previous prime is 230444393. The next prime is 230444449. The reversal of 230444412 is 214444032.

It is a happy number.

230444412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11713 + ... + 24455.

It is an arithmetic number, because the mean of its divisors is an integer number (12310704).

Almost surely, 2230444412 is an apocalyptic number.

230444412 is a gapful number since it is divisible by the number (22) 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 230444412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295456896).

230444412 is an abundant number, since it is smaller than the sum of its proper divisors (360469380).

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

230444412 is a wasteful number, since it uses less digits than its factorization.

230444412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12898 (or 12896 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 230444412 is about 15180.3956470179. The cubic root of 230444412 is about 613.0869338176.

Adding to 230444412 its reverse (214444032), we get a palindrome (444888444).

The spelling of 230444412 in words is "two hundred thirty million, four hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 137 274 411 548 822 1507 1644 3014 4521 6028 9042 12743 18084 25486 38229 50972 76458 140173 152916 280346 420519 560692 841038 1682076 1745791 3491582 5237373 6983164 10474746 19203701 20949492 38407402 57611103 76814804 115222206 230444412