214311200 has 72 divisors (see below), whose sum is σ = 529966080. Its totient is φ = 84614400.

The previous prime is 214311169. The next prime is 214311221. The reversal of 214311200 is 2113412.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61505 + ... + 64895.

It is an arithmetic number, because the mean of its divisors is an integer number (7360640).

Almost surely, 2^214311200 is an apocalyptic number.

214311200 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 214311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264983040).

214311200 is an abundant number, since it is smaller than the sum of its proper divisors (315654880).

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

214311200 is a wasteful number, since it uses less digits than its factorization.

214311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 214311200 is about 14639.3715712117. The cubic root of 214311200 is about 598.4322032199.

Adding to 214311200 its reverse (2113412), we get a palindrome (216424612).

The spelling of 214311200 in words is "two hundred fourteen million, three hundred eleven thousand, two hundred".