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230013344 = 25112832309
BaseRepresentation
bin11011011010110…
…11100110100000
3121000210212222202
431231123212200
5432340411334
634453552332
75462036561
oct1555334640
9530725882
10230013344
11108922480
12650456a8
1338865392
1422796168
15152d717e
hexdb5b9a0

230013344 has 48 divisors (see below), whose sum is σ = 495966240. Its totient is φ = 104136960.

The previous prime is 230013341. The next prime is 230013353. The reversal of 230013344 is 443310032.

It is a super-2 number, since 2×2300133442 = 105812276836124672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230013341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98462 + ... + 100770.

It is an arithmetic number, because the mean of its divisors is an integer number (10332630).

Almost surely, 2230013344 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 230013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247983120).

230013344 is an abundant number, since it is smaller than the sum of its proper divisors (265952896).

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

230013344 is a wasteful number, since it uses less digits than its factorization.

230013344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 230013344 is about 15166.1908203741. The cubic root of 230013344 is about 612.7044162352.

Adding to 230013344 its reverse (443310032), we get a palindrome (673323376).

The spelling of 230013344 in words is "two hundred thirty million, thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 283 352 566 1132 2264 2309 3113 4528 4618 6226 9056 9236 12452 18472 24904 25399 36944 49808 50798 73888 99616 101596 203192 406384 653447 812768 1306894 2613788 5227576 7187917 10455152 14375834 20910304 28751668 57503336 115006672 230013344