286114000 has 80 divisors (see below), whose sum is σ = 715824720. Its totient is φ = 110476800.

The previous prime is 286113983. The next prime is 286114001. The reversal of 286114000 is 411682.

It can be written as a sum of positive squares in 8 ways, for example, as 115863696 + 170250304 = 10764^2 + 13048^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×286114000² = 163722441992000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286114001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55534 + ... + 60466.

It is an arithmetic number, because the mean of its divisors is an integer number (8947809).

Almost surely, 2^286114000 is an apocalyptic number.

286114000 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 286114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357912360).

286114000 is an abundant number, since it is smaller than the sum of its proper divisors (429710720).

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

286114000 is a wasteful number, since it uses less digits than its factorization.

286114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4985 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 286114000 is about 16914.9046701422. The cubic root of 286114000 is about 658.9407557635.

Adding to 286114000 its reverse (411682), we get a palindrome (286525682).

It can be divided in two parts, 2861 and 14000, that added together give a palindrome (16861).

The spelling of 286114000 in words is "two hundred eighty-six million, one hundred fourteen thousand".