214024000 has 112 divisors (see below), whose sum is σ = 547762176. Its totient is φ = 82752000.

The previous prime is 214023991. The next prime is 214024061. The reversal of 214024000 is 420412.

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 15 ways as a sum of consecutive naturals, for example, 247569 + ... + 248431.

Almost surely, 2^214024000 is an apocalyptic number.

214024000 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 214024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273881088).

214024000 is an abundant number, since it is smaller than the sum of its proper divisors (333738176).

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

214024000 is an equidigital number, since it uses as much as digits as its factorization.

214024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 214024000 is about 14629.5591184424. The cubic root of 214024000 is about 598.1647625999.

Adding to 214024000 its reverse (420412), we get a palindrome (214444412).

The spelling of 214024000 in words is "two hundred fourteen million, twenty-four thousand".