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230210032210000 = 245467463774099
BaseRepresentation
bin110100010101111111110011…
…001100011001000001010000
31010012002212022221222120111021
4310111333303030121001100
5220133230121221210000
62133341010115525224
766330061130234503
oct6425776314310120
91105085287876437
10230210032210000
116739658768a447
12219a02b5bb9814
139b5b9362a461b
1440bc3215db13a
151b93457e0e11a
hexd15ff3319050

230210032210000 has 200 divisors, whose sum is σ = 565809965978400. Its totient is φ = 90688838592000.

The previous prime is 230210032209931. The next prime is 230210032210019. The reversal of 230210032210000 is 12230012032.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 3106752951 + ... + 3106827049.

It is an arithmetic number, because the mean of its divisors is an integer number (2829049829892).

Almost surely, 2230210032210000 is an apocalyptic number.

230210032210000 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 230210032210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282904982989200).

230210032210000 is an abundant number, since it is smaller than the sum of its proper divisors (335599933768400).

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

230210032210000 is an equidigital number, since it uses as much as digits as its factorization.

230210032210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78831 (or 78810 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 230210032210000 its reverse (12230012032), we get a palindrome (230222262222032).

The spelling of 230210032210000 in words is "two hundred thirty trillion, two hundred ten billion, thirty-two million, two hundred ten thousand".