214133640 has 128 divisors (see below), whose sum is σ = 738063360. Its totient is φ = 48685824.

The previous prime is 214133627. The next prime is 214133641. The reversal of 214133640 is 46331412.

214133640 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 214133640.

It is not an unprimeable number, because it can be changed into a prime (214133641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 190119 + ... + 191241.

It is an arithmetic number, because the mean of its divisors is an integer number (5766120).

Almost surely, 2^214133640 is an apocalyptic number.

214133640 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 214133640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369031680).

214133640 is an abundant number, since it is smaller than the sum of its proper divisors (523929720).

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

214133640 is a wasteful number, since it uses less digits than its factorization.

214133640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 214133640 is about 14633.3058465953. The cubic root of 214133640 is about 598.2668875779.

The spelling of 214133640 in words is "two hundred fourteen million, one hundred thirty-three thousand, six hundred forty".