214868000 has 48 divisors (see below), whose sum is σ = 527940504. Its totient is φ = 85945600.

The previous prime is 214867997. The next prime is 214868009. The reversal of 214868000 is 868412.

It can be written as a sum of positive squares in 4 ways, for example, as 62789776 + 152078224 = 7924^2 + 12332^2 .

It is not an unprimeable number, because it can be changed into a prime (214868009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22859 + ... + 30858.

Almost surely, 2^214868000 is an apocalyptic number.

214868000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214868000 is an abundant number, since it is smaller than the sum of its proper divisors (313072504).

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

214868000 is an equidigital number, since it uses as much as digits as its factorization.

214868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53742 (or 53724 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 214868000 is about 14658.3764448864. The cubic root of 214868000 is about 598.9500154779.

The spelling of 214868000 in words is "two hundred fourteen million, eight hundred sixty-eight thousand".