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233200230000 = 2435456313807
BaseRepresentation
bin1101100100101111010…
…0010001111001110000
3211021221010101010010120
43121023310101321300
512310043224330000
6255044122130240
722563630151323
oct3311364217160
9737833333116
10233200230000
118a9994a5411
1239242350980
1318cb570369a
14b4035747ba
1560ecee46a0
hex364bd11e70

233200230000 has 200 divisors, whose sum is σ = 754193180928. Its totient is φ = 62071776000.

The previous prime is 233200229939. The next prime is 233200230001. The reversal of 233200230000 is 32002332.

233200230000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233200230001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 16883097 + ... + 16896903.

Almost surely, 2233200230000 is an apocalyptic number.

233200230000 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 233200230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377096590464).

233200230000 is an abundant number, since it is smaller than the sum of its proper divisors (520992950928).

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

233200230000 is a wasteful number, since it uses less digits than its factorization.

233200230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14401 (or 14380 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 233200230000 its reverse (32002332), we get a palindrome (233232232332).

The spelling of 233200230000 in words is "two hundred thirty-three billion, two hundred million, two hundred thirty thousand".