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230463450 = 232527233181
BaseRepresentation
bin11011011110010…
…01011111011010
3121001122202102100
431233021133122
5432444312300
634511344230
75465623050
oct1557113732
9531582370
10230463450
111090aa668
1265222076
1338992209
14228721d0
1515375700
hexdbc97da

230463450 has 144 divisors (see below), whose sum is σ = 738631296. Its totient is φ = 50371200.

The previous prime is 230463449. The next prime is 230463469. The reversal of 230463450 is 54364032.

230463450 is a `hidden beast` number, since 23 + 0 + 4 + 634 + 5 + 0 = 666.

230463450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2304634502 = 106226803571805000, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70860 + ... + 74040.

It is an arithmetic number, because the mean of its divisors is an integer number (5129384).

Almost surely, 2230463450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230463450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369315648).

230463450 is an abundant number, since it is smaller than the sum of its proper divisors (508167846).

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

230463450 is a wasteful number, since it uses less digits than its factorization.

230463450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 230463450 is about 15181.0226928228. The cubic root of 230463450 is about 613.1038165986.

The spelling of 230463450 in words is "two hundred thirty million, four hundred sixty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 25 30 35 42 45 46 50 63 69 70 75 90 105 115 126 138 150 161 175 207 210 225 230 315 322 345 350 414 450 483 525 575 630 690 805 966 1035 1050 1150 1449 1575 1610 1725 2070 2415 2898 3150 3181 3450 4025 4830 5175 6362 7245 8050 9543 10350 12075 14490 15905 19086 22267 24150 28629 31810 36225 44534 47715 57258 66801 72450 73163 79525 95430 111335 133602 143145 146326 159050 200403 219489 222670 238575 286290 334005 365815 400806 438978 477150 512141 556675 658467 668010 715725 731630 1002015 1024282 1097445 1113350 1316934 1431450 1536423 1670025 1829075 2004030 2194890 2560705 3072846 3292335 3340050 3658150 4609269 5010075 5121410 5487225 6584670 7682115 9218538 10020150 10974450 12803525 15364230 16461675 23046345 25607050 32923350 38410575 46092690 76821150 115231725 230463450