Search a number
-
+
230211000 = 23325325579
BaseRepresentation
bin11011011100010…
…11110110111000
3121001011221010100
431232023312320
5432413223000
634502115400
75463522045
oct1556136670
9531157110
10230211000
11108a47a28
126511bb60
1338904336
14228081cc
1515325a00
hexdb8bdb8

230211000 has 96 divisors (see below), whose sum is σ = 778143600. Its totient is φ = 61387200.

The previous prime is 230210999. The next prime is 230211013. The reversal of 230211000 is 112032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3790 + ... + 21789.

Almost surely, 2230211000 is an apocalyptic number.

230211000 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 230211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389071800).

230211000 is an abundant number, since it is smaller than the sum of its proper divisors (547932600).

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

230211000 is a wasteful number, since it uses less digits than its factorization.

230211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25606 (or 25589 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 230211000 is about 15172.7057573789. The cubic root of 230211000 is about 612.8798698692.

Adding to 230211000 its reverse (112032), we get a palindrome (230323032).

The spelling of 230211000 in words is "two hundred thirty million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 25579 51158 76737 102316 127895 153474 204632 230211 255790 306948 383685 460422 511580 613896 639475 767370 920844 1023160 1151055 1278950 1534740 1841688 1918425 2302110 2557900 3069480 3197375 3836850 4604220 5115800 5755275 6394750 7673700 9208440 9592125 11510550 12789500 15347400 19184250 23021100 25579000 28776375 38368500 46042200 57552750 76737000 115105500 230211000