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230028568 = 237111512473
BaseRepresentation
bin11011011010111…
…11010100011000
3121000211122212121
431231133110120
5432341403233
634454151024
75462132140
oct1555372430
9530748777
10230028568
11108932960
1265052474
133886c2a3
142279b920
15152db92d
hexdb5f518

230028568 has 64 divisors (see below), whose sum is σ = 541509120. Its totient is φ = 88992000.

The previous prime is 230028541. The next prime is 230028571. The reversal of 230028568 is 865820032.

It is a super-2 number, since 2×2300285682 = 105826284192261248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91780 + ... + 94252.

It is an arithmetic number, because the mean of its divisors is an integer number (8461080).

Almost surely, 2230028568 is an apocalyptic number.

230028568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230028568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270754560).

230028568 is an abundant number, since it is smaller than the sum of its proper divisors (311480552).

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

230028568 is a wasteful number, since it uses less digits than its factorization.

230028568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 230028568 is about 15166.6927179263. The cubic root of 230028568 is about 612.7179337209.

The spelling of 230028568 in words is "two hundred thirty million, twenty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 151 154 302 308 604 616 1057 1208 1661 2114 2473 3322 4228 4946 6644 8456 9892 11627 13288 17311 19784 23254 27203 34622 46508 54406 69244 93016 108812 138488 190421 217624 373423 380842 746846 761684 1493692 1523368 2613961 2987384 4107653 5227922 8215306 10455844 16430612 20911688 28753571 32861224 57507142 115014284 230028568