214912000 has 176 divisors, whose sum is σ = 567133632. Its totient is φ = 81100800.

The previous prime is 214911989. The next prime is 214912031. The reversal of 214912000 is 219412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2943964 + ... + 2944036.

Almost surely, 2^214912000 is an apocalyptic number.

214912000 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 214912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283566816).

214912000 is an abundant number, since it is smaller than the sum of its proper divisors (352221632).

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

214912000 is an equidigital number, since it uses as much as digits as its factorization.

214912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 214912000 is about 14659.8772164026. The cubic root of 214912000 is about 598.9908963939.

The spelling of 214912000 in words is "two hundred fourteen million, nine hundred twelve thousand".