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233230000210020 = 22325111722361328909
BaseRepresentation
bin110101000001111100010111…
…010100000100000001100100
31010120210120101201120100110200
4311001330113110010001210
5221032220020023210040
62144012214414550500
7100061211553550232
oct6501742724040144
91116716351510420
10233230000210020
1168350318909080
12221a9653208430
13a01a657986a48
14418456c449952
151be6caa69c630
hexd41f17504064

233230000210020 has 864 divisors, whose sum is σ = 856919387600640. Its totient is φ = 50816212254720.

The previous prime is 233230000210013. The next prime is 233230000210091. The reversal of 233230000210020 is 20012000032332.

It is a happy number.

233230000210020 is a `hidden beast` number, since 2 + 332 + 300 + 0 + 0 + 2 + 10 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 233230000209975 and 233230000210002.

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 287 ways as a sum of consecutive naturals, for example, 8067715326 + ... + 8067744234.

It is an arithmetic number, because the mean of its divisors is an integer number (991804846760).

Almost surely, 2233230000210020 is an apocalyptic number.

233230000210020 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 233230000210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428459693800320).

233230000210020 is an abundant number, since it is smaller than the sum of its proper divisors (623689387390620).

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

233230000210020 is a wasteful number, since it uses less digits than its factorization.

233230000210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29605 (or 29583 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 233230000210020 its reverse (20012000032332), we get a palindrome (253242000242352).

The spelling of 233230000210020 in words is "two hundred thirty-three trillion, two hundred thirty billion, two hundred ten thousand, twenty".