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233300032020 = 22325114316316811
BaseRepresentation
bin1101100101000111000…
…0111111101000010100
3211022012002011120202200
43121101300333220110
512310244302011040
6255102045204500
722566251360316
oct3312160775024
9738162146680
10233300032020
118aa3a871120
123926b860730
13190002a8033
14b4129137b6
156106b5a630
hex3651c3fa14

233300032020 has 288 divisors, whose sum is σ = 794858448384. Its totient is φ = 54900115200.

The previous prime is 233300031971. The next prime is 233300032037. The reversal of 233300032020 is 20230003332.

233300032020 is a `hidden beast` number, since 23 + 3 + 300 + 0 + 320 + 20 = 666.

233300032020 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 junction number, because it is equal to n+sod(n) for n = 233300031984 and 233300032002.

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, 13869415 + ... + 13886225.

It is an arithmetic number, because the mean of its divisors is an integer number (2759925168).

Almost surely, 2233300032020 is an apocalyptic number.

233300032020 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 233300032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397429224192).

233300032020 is an abundant number, since it is smaller than the sum of its proper divisors (561558416364).

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

233300032020 is a wasteful number, since it uses less digits than its factorization.

233300032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17043 (or 17038 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 233300032020 its reverse (20230003332), we get a palindrome (253530035352).

The spelling of 233300032020 in words is "two hundred thirty-three billion, three hundred million, thirty-two thousand, twenty".