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230008896 = 2634133413
BaseRepresentation
bin11011011010110…
…10100001000000
3121000210122220000
431231122201000
5432340241041
634453520000
75462020605
oct1555324100
9530718800
10230008896
1110891a0a7
1265043000
1338863350
14227946ac
15152d5bb6
hexdb5a840

230008896 has 140 divisors (see below), whose sum is σ = 734481132. Its totient is φ = 70751232.

The previous prime is 230008879. The next prime is 230008907. The reversal of 230008896 is 698800032.

It can be written as a sum of positive squares in 2 ways, for example, as 132710400 + 97298496 = 11520^2 + 9864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 230008896.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65686 + ... + 69098.

Almost surely, 2230008896 is an apocalyptic number.

230008896 is a gapful number since it is divisible by the number (26) 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 230008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367240566).

230008896 is an abundant number, since it is smaller than the sum of its proper divisors (504472236).

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

230008896 is a wasteful number, since it uses less digits than its factorization.

230008896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 230008896 is about 15166.0441777017. The cubic root of 230008896 is about 612.7004667153.

The spelling of 230008896 in words is "two hundred thirty million, eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3413 3744 4212 5184 5616 6826 7488 8424 10239 11232 13652 16848 20478 22464 27304 30717 33696 40956 44369 54608 61434 67392 81912 88738 92151 109216 122868 133107 163824 177476 184302 218432 245736 266214 276453 327648 354952 368604 399321 491472 532428 552906 655296 709904 737208 798642 982944 1064856 1105812 1197963 1419808 1474416 1597284 1965888 2129712 2211624 2395926 2839616 2948832 3194568 3593889 4259424 4423248 4791852 5897664 6389136 7187778 8518848 8846496 9583704 12778272 14375556 17692992 19167408 25556544 28751112 38334816 57502224 76669632 115004448 230008896