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258796230 = 235711234871
BaseRepresentation
bin11110110110011…
…10101011000110
3200000222012200120
433123032223012
51012222434410
641402522410
76261505650
oct1733165306
9600865616
10258796230
111230a1490
1272806406
1341802384
14265296d0
1517ac0570
hexf6ceac6

258796230 has 128 divisors (see below), whose sum is σ = 808206336. Its totient is φ = 51427200.

The previous prime is 258796211. The next prime is 258796249. The reversal of 258796230 is 32697852.

It is an interprime number because it is at equal distance from previous prime (258796211) and next prime (258796249).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50695 + ... + 55565.

It is an arithmetic number, because the mean of its divisors is an integer number (6314112).

Almost surely, 2258796230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258796230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404103168).

258796230 is an abundant number, since it is smaller than the sum of its proper divisors (549410106).

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

258796230 is a wasteful number, since it uses less digits than its factorization.

258796230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922.

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 258796230 is about 16087.1448678751. The cubic root of 258796230 is about 637.2638971897.

The spelling of 258796230 in words is "two hundred fifty-eight million, seven hundred ninety-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 23 30 33 35 42 46 55 66 69 70 77 105 110 115 138 154 161 165 210 230 231 253 322 330 345 385 462 483 506 690 759 770 805 966 1155 1265 1518 1610 1771 2310 2415 2530 3542 3795 4830 4871 5313 7590 8855 9742 10626 14613 17710 24355 26565 29226 34097 48710 53130 53581 68194 73065 102291 107162 112033 146130 160743 170485 204582 224066 267905 321486 336099 340970 375067 511455 535810 560165 672198 750134 784231 803715 1022910 1120330 1125201 1232363 1568462 1607430 1680495 1875335 2250402 2352693 2464726 3360990 3697089 3750670 3921155 4705386 5626005 6161815 7394178 7842310 8626541 11252010 11763465 12323630 17253082 18485445 23526930 25879623 36970890 43132705 51759246 86265410 129398115 258796230