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230268258 = 23511192267
BaseRepresentation
bin11011011100110…
…01110101100010
3121001021211200000
431232121311202
5432422041013
634503240430
75464151013
oct1556316542
9531254600
10230268258
11108a86a50
1265149116
133892440c
142282100a
1515337973
hexdb99d62

230268258 has 96 divisors (see below), whose sum is σ = 594397440. Its totient is φ = 66076560.

The previous prime is 230268257. The next prime is 230268271. The reversal of 230268258 is 852862032.

It is not an unprimeable number, because it can be changed into a prime (230268251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100441 + ... + 102707.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2230268258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230268258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).

230268258 is an abundant number, since it is smaller than the sum of its proper divisors (364129182).

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

230268258 is a wasteful number, since it uses less digits than its factorization.

230268258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 230268258 is about 15174.5925151221. The cubic root of 230268258 is about 612.9306774133.

The spelling of 230268258 in words is "two hundred thirty million, two hundred sixty-eight thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 243 297 342 418 486 513 594 627 891 1026 1254 1539 1782 1881 2267 2673 3078 3762 4534 4617 5346 5643 6801 9234 11286 13602 16929 20403 24937 33858 40806 43073 49874 50787 61209 74811 86146 101574 122418 129219 149622 183627 224433 258438 367254 387657 448866 473803 550881 673299 775314 947606 1101762 1162971 1346598 1421409 2019897 2325942 2842818 3488913 4039794 4264227 6059691 6977826 8528454 10466739 12119382 12792681 20933478 25585362 38378043 76756086 115134129 230268258