214375000 has 128 divisors (see below), whose sum is σ = 585936000. Its totient is φ = 73500000.

The previous prime is 214374971. The next prime is 214375027. The reversal of 214375000 is 573412.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30624997 + ... + 30625003.

It is an arithmetic number, because the mean of its divisors is an integer number (4577625).

Almost surely, 2^214375000 is an apocalyptic number.

214375000 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 214375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292968000).

214375000 is an abundant number, since it is smaller than the sum of its proper divisors (371561000).

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

214375000 is an frugal number, since it uses more digits than its factorization.

214375000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 214375000 is about 14641.5504643463. The cubic root of 214375000 is about 598.4915813368.

The spelling of 214375000 in words is "two hundred fourteen million, three hundred seventy-five thousand".