214950000 has 120 divisors (see below), whose sum is σ = 694549296. Its totient is φ = 57280000.

The previous prime is 214949981. The next prime is 214950007. The reversal of 214950000 is 59412.

214950000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214950007) 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, 149284 + ... + 150716.

Almost surely, 2^214950000 is an apocalyptic number.

214950000 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 214950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347274648).

214950000 is an abundant number, since it is smaller than the sum of its proper divisors (479599296).

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

214950000 is an equidigital number, since it uses as much as digits as its factorization.

214950000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 214950000 is about 14661.1732136279. The cubic root of 214950000 is about 599.0261981494.

The spelling of 214950000 in words is "two hundred fourteen million, nine hundred fifty thousand".