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285227040 = 25357267181
BaseRepresentation
bin10001000000000…
…011100000100000
3201212201000221110
4101000003200200
51041004231130
644145223320
710032250500
oct2100034040
9655630843
10285227040
1113700432a
127b631b40
13471278c7
1429c49a00
151a091ab0
hex11003820

285227040 has 288 divisors, whose sum is σ = 1066613184. Its totient is φ = 63866880.

The previous prime is 285227039. The next prime is 285227053. The reversal of 285227040 is 40722582.

285227040 is digitally balanced in base 3, 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 285226989 and 285227007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1575750 + ... + 1575930.

It is an arithmetic number, because the mean of its divisors is an integer number (3703518).

Almost surely, 2285227040 is an apocalyptic number.

285227040 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 285227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533306592).

285227040 is an abundant number, since it is smaller than the sum of its proper divisors (781386144).

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

285227040 is a wasteful number, since it uses less digits than its factorization.

285227040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 285227040 is about 16888.6660219213. Note that the first 3 decimals coincide. The cubic root of 285227040 is about 658.2591404221.

It can be divided in two parts, 2852 and 27040, that added together give a palindrome (29892).

The spelling of 285227040 in words is "two hundred eighty-five million, two hundred twenty-seven thousand, forty".