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230102304 = 253233197
BaseRepresentation
bin11011011011100…
…01010100100000
3121000222102000120
431231301110200
5432401233204
634455520240
75462560125
oct1555612440
9530872016
10230102304
111089832a3
1265089080
1338896a13
14227ba74c
15153036d9
hexdb71520

230102304 has 96 divisors (see below), whose sum is σ = 634677120. Its totient is φ = 72993536.

The previous prime is 230102303. The next prime is 230102317. The reversal of 230102304 is 403201032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2301023042 = 105894140612216832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230102303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167934 + ... + 1168130.

It is an arithmetic number, because the mean of its divisors is an integer number (6611220).

Almost surely, 2230102304 is an apocalyptic number.

230102304 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 230102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317338560).

230102304 is an abundant number, since it is smaller than the sum of its proper divisors (404574816).

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

230102304 is an equidigital number, since it uses as much as digits as its factorization.

230102304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 230102304 is about 15169.1233761216. The cubic root of 230102304 is about 612.7833959420.

Adding to 230102304 its reverse (403201032), we get a palindrome (633303336).

The spelling of 230102304 in words is "two hundred thirty million, one hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 197 276 368 394 529 552 591 736 788 1058 1104 1182 1576 1587 2116 2208 2364 3152 3174 4232 4531 4728 6304 6348 8464 9062 9456 12167 12696 13593 16928 18124 18912 24334 25392 27186 36248 36501 48668 50784 54372 72496 73002 97336 104213 108744 144992 146004 194672 208426 217488 292008 312639 389344 416852 434976 584016 625278 833704 1168032 1250556 1667408 2396899 2501112 3334816 4793798 5002224 7190697 9587596 10004448 14381394 19175192 28762788 38350384 57525576 76700768 115051152 230102304