Search a number
-
+
230405000 = 2354729227
BaseRepresentation
bin11011011101110…
…11001110001000
3121001112210020112
431232323032020
5432440430000
634510213452
75465260460
oct1556731610
9531483215
10230405000
1110906a761
12651b4288
1338971727
1422858ba0
1515363235
hexdbbb388

230405000 has 160 divisors (see below), whose sum is σ = 641044800. Its totient is φ = 75936000.

The previous prime is 230404997. The next prime is 230405003. The reversal of 230405000 is 504032.

It is an interprime number because it is at equal distance from previous prime (230404997) and next prime (230405003).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (230405003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1014887 + ... + 1015113.

It is an arithmetic number, because the mean of its divisors is an integer number (4006530).

Almost surely, 2230405000 is an apocalyptic number.

230405000 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 230405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320522400).

230405000 is an abundant number, since it is smaller than the sum of its proper divisors (410639800).

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

230405000 is a wasteful number, since it uses less digits than its factorization.

230405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 230405000 is about 15179.0974698761. The cubic root of 230405000 is about 613.0519805438.

Adding to 230405000 its reverse (504032), we get a palindrome (230909032).

The spelling of 230405000 in words is "two hundred thirty million, four hundred five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 29 35 40 50 56 58 70 100 116 125 140 145 175 200 203 227 232 250 280 290 350 406 454 500 580 625 700 725 812 875 908 1000 1015 1135 1160 1250 1400 1450 1589 1624 1750 1816 2030 2270 2500 2900 3178 3500 3625 4060 4375 4540 5000 5075 5675 5800 6356 6583 7000 7250 7945 8120 8750 9080 10150 11350 12712 13166 14500 15890 17500 18125 20300 22700 25375 26332 28375 29000 31780 32915 35000 36250 39725 40600 45400 46081 50750 52664 56750 63560 65830 72500 79450 92162 101500 113500 126875 131660 141875 145000 158900 164575 184324 198625 203000 227000 230405 253750 263320 283750 317800 329150 368648 397250 460810 507500 567500 658300 794500 822875 921620 993125 1015000 1135000 1152025 1316600 1589000 1645750 1843240 1986250 2304050 3291500 3972500 4114375 4608100 5760125 6583000 7945000 8228750 9216200 11520250 16457500 23040500 28800625 32915000 46081000 57601250 115202500 230405000