214302920 has 64 divisors (see below), whose sum is σ = 521579520. Its totient is φ = 78776064.

The previous prime is 214302899. The next prime is 214302923. The reversal of 214302920 is 29203412.

214302920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (214302923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135977 + ... + 137543.

It is an arithmetic number, because the mean of its divisors is an integer number (8149680).

Almost surely, 2^214302920 is an apocalyptic number.

214302920 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 214302920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260789760).

214302920 is an abundant number, since it is smaller than the sum of its proper divisors (307276600).

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

214302920 is a wasteful number, since it uses less digits than its factorization.

214302920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 214302920 is about 14639.0887694556. The cubic root of 214302920 is about 598.4244962305.

The spelling of 214302920 in words is "two hundred fourteen million, three hundred two thousand, nine hundred twenty".