214301052 has 120 divisors (see below), whose sum is σ = 651173600. Its totient is φ = 60186240.

The previous prime is 214301029. The next prime is 214301069. The reversal of 214301052 is 250103412.

214301052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 137574 + ... + 139122.

Almost surely, 2^214301052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214301052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325586800).

214301052 is an abundant number, since it is smaller than the sum of its proper divisors (436872548).

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

214301052 is a wasteful number, since it uses less digits than its factorization.

214301052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 214301052 is about 14639.0249675311. The cubic root of 214301052 is about 598.4227574764.

Adding to 214301052 its reverse (250103412), we get a palindrome (464404464).

The spelling of 214301052 in words is "two hundred fourteen million, three hundred one thousand, fifty-two".