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230833310448 = 24313467792131
BaseRepresentation
bin1101011011111010111…
…1001100101011110000
3211001211011121010220110
43112332233030223300
512240221311413243
6254013210541320
722451156523246
oct3267657145360
9731734533813
10230833310448
1189994427754
12388a1737840
13189c922ab80
14b25b086796
156010304e33
hex35bebccaf0

230833310448 has 80 divisors (see below), whose sum is σ = 643566059136. Its totient is φ = 70873455360.

The previous prime is 230833310441. The next prime is 230833310507. The reversal of 230833310448 is 844013338032.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230833310441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104658 + ... + 687473.

Almost surely, 2230833310448 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 230833310448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321783029568).

230833310448 is an abundant number, since it is smaller than the sum of its proper divisors (412732748688).

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

230833310448 is a wasteful number, since it uses less digits than its factorization.

230833310448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792622 (or 792616 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

It can be divided in two parts, 2308333 and 10448, that added together give a triangular number (2318781 = T2153).

The spelling of 230833310448 in words is "two hundred thirty billion, eight hundred thirty-three million, three hundred ten thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 467 624 934 1401 1868 2802 3736 5604 6071 7472 11208 12142 18213 22416 24284 36426 48568 72852 97136 145704 291408 792131 1584262 2376393 3168524 4752786 6337048 9505572 10297703 12674096 19011144 20595406 30893109 38022288 41190812 61786218 82381624 123572436 164763248 247144872 369925177 494289744 739850354 1109775531 1479700708 2219551062 2959401416 4439102124 4809027301 5918802832 8878204248 9618054602 14427081903 17756408496 19236109204 28854163806 38472218408 57708327612 76944436816 115416655224 230833310448