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285235200 = 2113252619
BaseRepresentation
bin10001000000000…
…101100000000000
3201212201110010200
4101000011200000
51041010011300
644145325200
710032313335
oct2100054000
9655643120
10285235200
1113700a478
127b636800
134712b533
1429c4c98c
151a094200
hex11005800

285235200 has 216 divisors, whose sum is σ = 1023176700. Its totient is φ = 75939840.

The previous prime is 285235189. The next prime is 285235229. The reversal of 285235200 is 2532582.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 460491 + ... + 461109.

Almost surely, 2285235200 is an apocalyptic number.

285235200 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 285235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511588350).

285235200 is an abundant number, since it is smaller than the sum of its proper divisors (737941500).

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

285235200 is a wasteful number, since it uses less digits than its factorization.

285235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 285235200 is about 16888.9076023288. The cubic root of 285235200 is about 658.2654176943.

Adding to 285235200 its reverse (2532582), we get a palindrome (287767782).

The spelling of 285235200 in words is "two hundred eighty-five million, two hundred thirty-five thousand, two hundred".