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230011000 = 2353673433
BaseRepresentation
bin11011011010110…
…11000001111000
3121000210202202221
431231123001320
5432340323000
634453533424
75462030002
oct1555330170
9530722687
10230011000
1110892073a
1265044274
13388642ab
1422795372
15152d661a
hexdb5b078

230011000 has 64 divisors (see below), whose sum is σ = 546418080. Its totient is φ = 90604800.

The previous prime is 230010983. The next prime is 230011009. The reversal of 230011000 is 110032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230011009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65284 + ... + 68716.

Almost surely, 2230011000 is an apocalyptic number.

230011000 is a gapful number since it is divisible by the number (20) 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 230011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273209040).

230011000 is an abundant number, since it is smaller than the sum of its proper divisors (316407080).

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

230011000 is a wasteful number, since it uses less digits than its factorization.

230011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 230011000 is about 15166.1135430274. The cubic root of 230011000 is about 612.7023349298.

Adding to 230011000 its reverse (110032), we get a palindrome (230121032).

The spelling of 230011000 in words is "two hundred thirty million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 500 536 670 1000 1340 1675 2680 3350 3433 6700 6866 8375 13400 13732 16750 17165 27464 33500 34330 67000 68660 85825 137320 171650 230011 343300 429125 460022 686600 858250 920044 1150055 1716500 1840088 2300110 3433000 4600220 5750275 9200440 11500550 23001100 28751375 46002200 57502750 115005500 230011000