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230203248 = 243111273433
BaseRepresentation
bin11011011100010…
…01111101110000
3121001011112111020
431232021331300
5432413000443
634502015440
75463460332
oct1556117560
9531145436
10230203248
11108a42120
1265117580
1338900952
1422805452
1515323583
hexdb89f70

230203248 has 80 divisors (see below), whose sum is σ = 654053376. Its totient is φ = 69189120.

The previous prime is 230203201. The next prime is 230203271. The reversal of 230203248 is 842302032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65340 + ... + 68772.

Almost surely, 2230203248 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 230203248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327026688).

230203248 is an abundant number, since it is smaller than the sum of its proper divisors (423850128).

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

230203248 is a wasteful number, since it uses less digits than its factorization.

230203248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 230203248 is about 15172.4502965078. The cubic root of 230203248 is about 612.8729905309.

The spelling of 230203248 in words is "two hundred thirty million, two hundred three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 127 132 176 254 264 381 508 528 762 1016 1397 1524 2032 2794 3048 3433 4191 5588 6096 6866 8382 10299 11176 13732 16764 20598 22352 27464 33528 37763 41196 54928 67056 75526 82392 113289 151052 164784 226578 302104 435991 453156 604208 871982 906312 1307973 1743964 1812624 2615946 3487928 4795901 5231892 6975856 9591802 10463784 14387703 19183604 20927568 28775406 38367208 57550812 76734416 115101624 230203248