214115000 has 160 divisors (see below), whose sum is σ = 582001200. Its totient is φ = 72960000.

The previous prime is 214114973. The next prime is 214115003. The reversal of 214115000 is 511412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214115003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 934886 + ... + 935114.

Almost surely, 2^214115000 is an apocalyptic number.

214115000 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 214115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291000600).

214115000 is an abundant number, since it is smaller than the sum of its proper divisors (367886200).

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

214115000 is a wasteful number, since it uses less digits than its factorization.

214115000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 214115000 is about 14632.6689294879. The cubic root of 214115000 is about 598.2495276738.

Adding to 214115000 its reverse (511412), we get a palindrome (214626412).

The spelling of 214115000 in words is "two hundred fourteen million, one hundred fifteen thousand".