214140200 has 48 divisors (see below), whose sum is σ = 502852860. Its totient is φ = 84800000.

The previous prime is 214140191. The next prime is 214140229. The reversal of 214140200 is 2041412.

It can be written as a sum of positive squares in 6 ways, for example, as 175774564 + 38365636 = 13258^2 + 6194^2 .

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 11 ways as a sum of consecutive naturals, for example, 14900 + ... + 25500.

Almost surely, 2^214140200 is an apocalyptic number.

214140200 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 214140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251426430).

214140200 is an abundant number, since it is smaller than the sum of its proper divisors (288712660).

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

214140200 is a wasteful number, since it uses less digits than its factorization.

214140200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10718 (or 10709 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 214140200 is about 14633.5299910855. The cubic root of 214140200 is about 598.2729968324.

Adding to 214140200 its reverse (2041412), we get a palindrome (216181612).

The spelling of 214140200 in words is "two hundred fourteen million, one hundred forty thousand, two hundred".