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230332213021200 = 243522325913220907
BaseRepresentation
bin110100010111110001100101…
…101111001100101000010000
31010012112112200221201212112220
4310113301211233030220100
5220142230333013134300
62133513054034421040
766341644650056163
oct6427614557145020
91105475627655486
10230332213021200
1167433385558274
12219bbb14131780
139b6a308232204
1440c41d2427ada
151b96709590da0
hexd17c65bcca10

230332213021200 has 240 divisors, whose sum is σ = 770207845257216. Its totient is φ = 58728711641600.

The previous prime is 230332213021171. The next prime is 230332213021201. The reversal of 230332213021200 is 2120312233032.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (230332213021201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69901147 + ... + 73122053.

Almost surely, 2230332213021200 is an apocalyptic number.

230332213021200 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 230332213021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385103922628608).

230332213021200 is an abundant number, since it is smaller than the sum of its proper divisors (539875632236016).

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

230332213021200 is a wasteful number, since it uses less digits than its factorization.

230332213021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223542 (or 3223531 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 230332213021200 its reverse (2120312233032), we get a palindrome (232452525254232).

The spelling of 230332213021200 in words is "two hundred thirty trillion, three hundred thirty-two billion, two hundred thirteen million, twenty-one thousand, two hundred".