Search a number
-
+
231123200 = 2852721167
BaseRepresentation
bin11011100011010…
…10100100000000
3121002220021102112
431301222210000
5433131420300
634533434452
75504341400
oct1561524400
9532807375
10231123200
11109510310
126549ba28
1338b635b9
14229a4800
1515455e35
hexdc6a900

231123200 has 324 divisors, whose sum is σ = 736796592. Its totient is φ = 70963200.

The previous prime is 231123187. The next prime is 231123203. The reversal of 231123200 is 2321132.

It is a happy number.

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 (231123203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3449567 + ... + 3449633.

Almost surely, 2231123200 is an apocalyptic number.

231123200 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 231123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368398296).

231123200 is an abundant number, since it is smaller than the sum of its proper divisors (505673392).

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

231123200 is a wasteful number, since it uses less digits than its factorization.

231123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 231123200 is about 15202.7365957580. The cubic root of 231123200 is about 613.6883053343.

Adding to 231123200 its reverse (2321132), we get a palindrome (233444332).

The spelling of 231123200 in words is "two hundred thirty-one million, one hundred twenty-three thousand, two hundred".