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258106230 = 23352389467
BaseRepresentation
bin11110110001001…
…10001101110110
3122222200011012000
433120212031312
51012033344410
641340040130
76252603204
oct1730461566
9588604160
10258106230
11122770038
1272533046
13416202a5
14263ca074
15179d5dc0
hexf626376

258106230 has 128 divisors (see below), whose sum is σ = 727833600. Its totient is φ = 64956672.

The previous prime is 258106213. The next prime is 258106243. The reversal of 258106230 is 32601852.

258106230 is a `hidden beast` number, since 25 + 8 + 10 + 623 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 258106194 and 258106203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 552457 + ... + 552923.

It is an arithmetic number, because the mean of its divisors is an integer number (5686200).

Almost surely, 2258106230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258106230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363916800).

258106230 is an abundant number, since it is smaller than the sum of its proper divisors (469727370).

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

258106230 is a wasteful number, since it uses less digits than its factorization.

258106230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 258106230 is about 16065.6848593516. The cubic root of 258106230 is about 636.6970374969.

The spelling of 258106230 in words is "two hundred fifty-eight million, one hundred six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 89 90 115 135 138 178 207 230 267 270 345 414 445 467 534 621 690 801 890 934 1035 1242 1335 1401 1602 2047 2070 2335 2403 2670 2802 3105 4005 4094 4203 4670 4806 6141 6210 7005 8010 8406 10235 10741 12015 12282 12609 14010 18423 20470 21015 21482 24030 25218 30705 32223 36846 41563 42030 53705 55269 61410 63045 64446 83126 92115 96669 107410 110538 124689 126090 161115 184230 193338 207815 249378 276345 290007 322230 374067 415630 483345 552690 580014 623445 748134 955949 966690 1122201 1246890 1450035 1870335 1911898 2244402 2867847 2900070 3740670 4779745 5611005 5735694 8603541 9559490 11222010 14339235 17207082 25810623 28678470 43017705 51621246 86035410 129053115 258106230