Search a number
-
+
230031112200 = 2335212715831907
BaseRepresentation
bin1101011000111011101…
…1000011100000001000
3210222202021010020210020
43112032323003200020
512232100431042300
6253401433020440
722422246122661
oct3261673034010
9728667106706
10230031112200
118961262529a
12386b8b54720
13188cbc88556
14b1c2708368
155eb4b968a0
hex358eec3808

230031112200 has 192 divisors, whose sum is σ = 719542517760. Its totient is φ = 60788286720.

The previous prime is 230031112183. The next prime is 230031112211. The reversal of 230031112200 is 2211130032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230031112200.

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 47 ways as a sum of consecutive naturals, for example, 120623647 + ... + 120625553.

It is an arithmetic number, because the mean of its divisors is an integer number (3747617280).

Almost surely, 2230031112200 is an apocalyptic number.

230031112200 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 230031112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359771258880).

230031112200 is an abundant number, since it is smaller than the sum of its proper divisors (489511405560).

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

230031112200 is a wasteful number, since it uses less digits than its factorization.

230031112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 230031112200 its reverse (2211130032), we get a palindrome (232242242232).

The spelling of 230031112200 in words is "two hundred thirty billion, thirty-one million, one hundred twelve thousand, two hundred".