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285622272 = 2143213149
BaseRepresentation
bin10001000001100…
…100000000000000
3201220110010002200
4101001210000000
51041104403042
644201513200
710035514665
oct2101440000
9656403080
10285622272
11137254271
127b7a2800
1347235780
1429d0da6c
151a11dc4c
hex11064000

285622272 has 180 divisors, whose sum is σ = 894539100. Its totient is φ = 87293952.

The previous prime is 285622241. The next prime is 285622289. The reversal of 285622272 is 272226582.

285622272 is a `hidden beast` number, since 2 + 8 + 5 + 622 + 27 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37748736 + 247873536 = 6144^2 + 15744^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 1916854 + ... + 1917002.

Almost surely, 2285622272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285622272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447269550).

285622272 is an abundant number, since it is smaller than the sum of its proper divisors (608916828).

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

285622272 is a wasteful number, since it uses less digits than its factorization.

285622272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 285622272 is about 16900.3630730230. The cubic root of 285622272 is about 658.5630445224.

The spelling of 285622272 in words is "two hundred eighty-five million, six hundred twenty-two thousand, two hundred seventy-two".