214311330 has 96 divisors (see below), whose sum is σ = 573168960. Its totient is φ = 55536000.

The previous prime is 214311329. The next prime is 214311341. The reversal of 214311330 is 33113412.

214311330 is a `hidden beast` number, since 21 + 4 + 311 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 853705 + ... + 853955.

It is an arithmetic number, because the mean of its divisors is an integer number (5970510).

Almost surely, 2^214311330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214311330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286584480).

214311330 is an abundant number, since it is smaller than the sum of its proper divisors (358857630).

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

214311330 is a wasteful number, since it uses less digits than its factorization.

214311330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 214311330 is about 14639.3760112923. The cubic root of 214311330 is about 598.4323242218.

Adding to 214311330 its reverse (33113412), we get a palindrome (247424742).

The spelling of 214311330 in words is "two hundred fourteen million, three hundred eleven thousand, three hundred thirty".