214938000 has 120 divisors (see below), whose sum is σ = 750769656. Its totient is φ = 57312000.

The previous prime is 214937993. The next prime is 214938001. The reversal of 214938000 is 839412.

214938000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23503104 + 191434896 = 4848^2 + 13836^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (214938001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12030 + ... + 23970.

Almost surely, 2^214938000 is an apocalyptic number.

214938000 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 214938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375384828).

214938000 is an abundant number, since it is smaller than the sum of its proper divisors (535831656).

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

214938000 is a wasteful number, since it uses less digits than its factorization.

214938000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11970 (or 11951 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 214938000 is about 14660.7639637230. The cubic root of 214938000 is about 599.0150506761.

The spelling of 214938000 in words is "two hundred fourteen million, nine hundred thirty-eight thousand".