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234023034026232 = 23321129717911291609
BaseRepresentation
bin110101001101011110111011…
…110011111111100011111000
31010200121101100121121021210100
4311031132323303333203320
5221133213133202314412
62145420410405515400
7100202414642014443
oct6515367363774370
91120541317537710
10234023034026232
116862667a815890
12222b7294712b60
13a07737b63a479
1441b0abd53865a
151c0c722104edc
hexd4d7bbcff8f8

234023034026232 has 768 divisors, whose sum is σ = 735637593600000. Its totient is φ = 66551379148800.

The previous prime is 234023034026227. The next prime is 234023034026233. The reversal of 234023034026232 is 232620430320432.

234023034026232 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 23 + 0 + 3 + 4 + 0 + 2 + 623 + 2 = 666.

It is a super-3 number, since 3×2340230340262323 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234023034026233) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 145446260244 + ... + 145446261852.

It is an arithmetic number, because the mean of its divisors is an integer number (957861450000).

Almost surely, 2234023034026232 is an apocalyptic number.

234023034026232 is a gapful number since it is divisible by the number (22) 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 234023034026232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367818796800000).

234023034026232 is an abundant number, since it is smaller than the sum of its proper divisors (501614559573768).

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

234023034026232 is a wasteful number, since it uses less digits than its factorization.

234023034026232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 234023034026232 its reverse (232620430320432), we get a palindrome (466643464346664).

The spelling of 234023034026232 in words is "two hundred thirty-four trillion, twenty-three billion, thirty-four million, twenty-six thousand, two hundred thirty-two".