Search a number
-
+
230322223230000 = 24354112516327737
BaseRepresentation
bin110100010111101000010010…
…010011001010110000110000
31010012111120220202011220021020
4310113220102103022300300
5220142044403121330000
62133504322454455440
766341142255203406
oct6427502223126060
91105446822156236
10230322223230000
116742a119586290
12219b9ba6664580
139b693a56aa665
1440c39257a1476
151b9632254cba0
hexd17a124cac30

230322223230000 has 400 divisors, whose sum is σ = 811164219060096. Its totient is φ = 55831458560000.

The previous prime is 230322223229947. The next prime is 230322223230049. The reversal of 230322223230000 is 32322223032.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8303776132 + ... + 8303803868.

Almost surely, 2230322223230000 is an apocalyptic number.

230322223230000 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 230322223230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405582109530048).

230322223230000 is an abundant number, since it is smaller than the sum of its proper divisors (580841995830096).

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

230322223230000 is a wasteful number, since it uses less digits than its factorization.

230322223230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52942 (or 52921 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 230322223230000 its reverse (32322223032), we get a palindrome (230354545453032).

The spelling of 230322223230000 in words is "two hundred thirty trillion, three hundred twenty-two billion, two hundred twenty-three million, two hundred thirty thousand".