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230013223110 = 2325117314332221
BaseRepresentation
bin1101011000110111011…
…0110100000011000110
3210222201000110101120100
43112031312310003012
512232031341114420
6253355553344530
722421641065126
oct3261566640306
9728630411510
10230013223110
1189603516a20
12386b2b68146
13188c8363ba8
14b1c01acc86
155eb3311190
hex358ddb40c6

230013223110 has 192 divisors, whose sum is σ = 662097623616. Its totient is φ = 54933811200.

The previous prime is 230013223103. The next prime is 230013223129. The reversal of 230013223110 is 11322310032.

230013223110 is a `hidden beast` number, since 2 + 30 + 0 + 1 + 322 + 311 + 0 = 666.

230013223110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103561800 + ... + 103564020.

It is an arithmetic number, because the mean of its divisors is an integer number (3448425123).

Almost surely, 2230013223110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230013223110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331048811808).

230013223110 is an abundant number, since it is smaller than the sum of its proper divisors (432084400506).

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

230013223110 is a wasteful number, since it uses less digits than its factorization.

230013223110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230013223110 its reverse (11322310032), we get a palindrome (241335533142).

The spelling of 230013223110 in words is "two hundred thirty billion, thirteen million, two hundred twenty-three thousand, one hundred ten".