214210000 has 100 divisors (see below), whose sum is σ = 536128384. Its totient is φ = 82800000.

The previous prime is 214209967. The next prime is 214210019. The reversal of 214210000 is 12412.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 309655 + ... + 310345.

Almost surely, 2^214210000 is an apocalyptic number.

214210000 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 214210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268064192).

214210000 is an abundant number, since it is smaller than the sum of its proper divisors (321918384).

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

214210000 is an equidigital number, since it uses as much as digits as its factorization.

214210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 214210000 is about 14635.9147305524. The cubic root of 214210000 is about 598.3379930650.

Adding to 214210000 its reverse (12412), we get a palindrome (214222412).

The spelling of 214210000 in words is "two hundred fourteen million, two hundred ten thousand".