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230091444 = 2232111953577
BaseRepresentation
bin11011011011011…
…10101010110100
3121000221212010100
431231232222310
5432400411234
634455354100
75462513352
oct1555565264
9530855110
10230091444
11108976120
1265082930
1338891aab
14227b67d2
1515300399
hexdb6eab4

230091444 has 144 divisors (see below), whose sum is σ = 681670080. Its totient is φ = 64696320.

The previous prime is 230091443. The next prime is 230091457. The reversal of 230091444 is 444190032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230091443) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 398484 + ... + 399060.

It is an arithmetic number, because the mean of its divisors is an integer number (4733820).

Almost surely, 2230091444 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 230091444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340835040).

230091444 is an abundant number, since it is smaller than the sum of its proper divisors (451578636).

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

230091444 is a wasteful number, since it uses less digits than its factorization.

230091444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 230091444 is about 15168.7654079032. The cubic root of 230091444 is about 612.7737554006.

The spelling of 230091444 in words is "two hundred thirty million, ninety-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 53 57 66 76 99 106 114 132 159 171 198 209 212 228 318 342 396 418 477 577 583 627 636 684 836 954 1007 1154 1166 1254 1731 1749 1881 1908 2014 2308 2332 2508 3021 3462 3498 3762 4028 5193 5247 6042 6347 6924 6996 7524 9063 10386 10494 10963 11077 12084 12694 18126 19041 20772 20988 21926 22154 25388 30581 32889 33231 36252 38082 43852 44308 57123 61162 65778 66462 76164 91743 98667 99693 114246 120593 122324 131556 132924 183486 197334 199386 228492 241186 275229 336391 361779 366972 394668 398772 482372 550458 581039 672782 723558 1009173 1085337 1100916 1162078 1345564 1447116 1743117 2018346 2170674 2324156 3027519 3486234 4036692 4341348 5229351 6055038 6391429 6972468 10458702 12110076 12782858 19174287 20917404 25565716 38348574 57522861 76697148 115045722 230091444