214334000 has 80 divisors (see below), whose sum is σ = 535132416. Its totient is φ = 82944000.

The previous prime is 214333891. The next prime is 214334009. The reversal of 214334000 is 433412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 214334000.

It is not an unprimeable number, because it can be changed into a prime (214334009) by changing a digit.

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, 60272 + ... + 63728.

Almost surely, 2^214334000 is an apocalyptic number.

214334000 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 214334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267566208).

214334000 is an abundant number, since it is smaller than the sum of its proper divisors (320798416).

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

214334000 is a wasteful number, since it uses less digits than its factorization.

214334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 214334000 is about 14640.1502724528. The cubic root of 214334000 is about 598.4534243388.

Adding to 214334000 its reverse (433412), we get a palindrome (214767412).

The spelling of 214334000 in words is "two hundred fourteen million, three hundred thirty-four thousand".