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231002304 = 26313194871
BaseRepresentation
bin11011100010011…
…01000011000000
3121002200010120220
431301031003000
5433114033204
634531103040
75503326051
oct1561150300
9532603526
10231002304
111094384a5
1265441a80
1338b20570
1422972728
15154301d9
hexdc4d0c0

231002304 has 112 divisors (see below), whose sum is σ = 692993280. Its totient is φ = 67322880.

The previous prime is 231002281. The next prime is 231002329. The reversal of 231002304 is 403200132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44989 + ... + 49859.

It is an arithmetic number, because the mean of its divisors is an integer number (6187440).

Almost surely, 2231002304 is an apocalyptic number.

231002304 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 231002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346496640).

231002304 is an abundant number, since it is smaller than the sum of its proper divisors (461990976).

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

231002304 is a wasteful number, since it uses less digits than its factorization.

231002304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4918 (or 4908 counting only the distinct ones).

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

The square root of 231002304 is about 15198.7599494169. The cubic root of 231002304 is about 613.5812839112.

Adding to 231002304 its reverse (403200132), we get a palindrome (634202436).

The spelling of 231002304 in words is "two hundred thirty-one million, two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 456 494 608 624 741 832 912 988 1216 1248 1482 1824 1976 2496 2964 3648 3952 4871 5928 7904 9742 11856 14613 15808 19484 23712 29226 38968 47424 58452 63323 77936 92549 116904 126646 155872 185098 189969 233808 253292 277647 311744 370196 379938 467616 506584 555294 740392 759876 935232 1013168 1110588 1203137 1480784 1519752 2026336 2221176 2406274 2961568 3039504 3609411 4052672 4442352 4812548 5923136 6079008 7218822 8884704 9625096 12158016 14437644 17769408 19250192 28875288 38500384 57750576 77000768 115501152 231002304