214251864 has 64 divisors (see below), whose sum is σ = 548402400. Its totient is φ = 69728256.

The previous prime is 214251853. The next prime is 214251887. The reversal of 214251864 is 468152412.

It is a happy number.

214251864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214251864² = 91807722454948992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 494592 + ... + 495024.

Almost surely, 2^214251864 is an apocalyptic number.

214251864 is a gapful number since it is divisible by the number (24) 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 214251864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274201200).

214251864 is an abundant number, since it is smaller than the sum of its proper divisors (334150536).

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

214251864 is a wasteful number, since it uses less digits than its factorization.

214251864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 880 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 214251864 is about 14637.3448411930. The cubic root of 214251864 is about 598.3769691323.

The spelling of 214251864 in words is "two hundred fourteen million, two hundred fifty-one thousand, eight hundred sixty-four".