210014000 has 120 divisors (see below), whose sum is σ = 590997888. Its totient is φ = 71971200.

The previous prime is 210013967. The next prime is 210014059. The reversal of 210014000 is 410012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96929 + ... + 99071.

Almost surely, 2^210014000 is an apocalyptic number.

210014000 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 210014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295498944).

210014000 is an abundant number, since it is smaller than the sum of its proper divisors (380983888).

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

210014000 is a wasteful number, since it uses less digits than its factorization.

210014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 210014000 is about 14491.8597840305. The cubic root of 210014000 is about 594.4054036982.

Adding to 210014000 its reverse (410012), we get a palindrome (210424012).

The spelling of 210014000 in words is "two hundred ten million, fourteen thousand".