Search a number
-
+
230110900 = 225219281431
BaseRepresentation
bin11011011011100…
…11011010110100
3121000222211210221
431231303122310
5432402022100
634500024124
75462624155
oct1555633264
9530884727
10230110900
111089897a8
1265092044
133889a8c6
14227bd92c
151530601a
hexdb736b4

230110900 has 72 divisors (see below), whose sum is σ = 528716160. Its totient is φ = 86688000.

The previous prime is 230110891. The next prime is 230110949. The reversal of 230110900 is 9011032.

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, 533685 + ... + 534115.

It is an arithmetic number, because the mean of its divisors is an integer number (7343280).

Almost surely, 2230110900 is an apocalyptic number.

230110900 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 230110900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264358080).

230110900 is an abundant number, since it is smaller than the sum of its proper divisors (298605260).

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

230110900 is a wasteful number, since it uses less digits than its factorization.

230110900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 230110900 is about 15169.4067121954. The cubic root of 230110900 is about 612.7910264907.

Adding to 230110900 its reverse (9011032), we get a palindrome (239121932).

The spelling of 230110900 in words is "two hundred thirty million, one hundred ten thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 281 380 431 475 562 862 950 1124 1405 1724 1900 2155 2810 4310 5339 5620 7025 8189 8620 10678 10775 14050 16378 21356 21550 26695 28100 32756 40945 43100 53390 81890 106780 121111 133475 163780 204725 242222 266950 409450 484444 533900 605555 818900 1211110 2301109 2422220 3027775 4602218 6055550 9204436 11505545 12111100 23011090 46022180 57527725 115055450 230110900