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230202864 = 2433412317
BaseRepresentation
bin11011011100010…
…01110111110000
3121001011111222000
431232021313300
5432412442424
634502014000
75463456243
oct1556116760
9531144860
10230202864
11108a41901
1265117300
1338900718
142280525a
15153233c9
hexdb89df0

230202864 has 120 divisors (see below), whose sum is σ = 679413360. Its totient is φ = 74626560.

The previous prime is 230202857. The next prime is 230202871. The reversal of 230202864 is 468202032.

It is an interprime number because it is at equal distance from previous prime (230202857) and next prime (230202871).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726034 + ... + 726350.

It is an arithmetic number, because the mean of its divisors is an integer number (5661778).

Almost surely, 2230202864 is an apocalyptic number.

230202864 is a gapful number since it is divisible by the number (24) 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 230202864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339706680).

230202864 is an abundant number, since it is smaller than the sum of its proper divisors (449210496).

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

230202864 is a wasteful number, since it uses less digits than its factorization.

230202864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 230202864 is about 15172.4376419875. The cubic root of 230202864 is about 612.8726497547.

Adding to 230202864 its reverse (468202032), we get a palindrome (698404896).

The spelling of 230202864 in words is "two hundred thirty million, two hundred two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 317 328 369 432 492 634 656 738 951 984 1107 1268 1476 1681 1902 1968 2214 2536 2853 2952 3362 3804 4428 5043 5072 5706 5904 6724 7608 8559 8856 10086 11412 12997 13448 15129 15216 17118 17712 20172 22824 25994 26896 30258 34236 38991 40344 45387 45648 51988 60516 68472 77982 80688 90774 103976 116973 121032 136944 155964 181548 207952 233946 242064 311928 350919 363096 467892 532877 623856 701838 726192 935784 1065754 1403676 1598631 1871568 2131508 2807352 3197262 4263016 4795893 5614704 6394524 8526032 9591786 12789048 14387679 19183572 25578096 28775358 38367144 57550716 76734288 115101432 230202864