214364500 has 96 divisors (see below), whose sum is σ = 543029760. Its totient is φ = 72403200.

The previous prime is 214364467. The next prime is 214364519. The reversal of 214364500 is 5463412.

214364500 is digitally balanced in base 2, 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 (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255081 + ... + 255919.

It is an arithmetic number, because the mean of its divisors is an integer number (5656560).

Almost surely, 2^214364500 is an apocalyptic number.

214364500 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 214364500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271514880).

214364500 is an abundant number, since it is smaller than the sum of its proper divisors (328665260).

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

214364500 is a wasteful number, since it uses less digits than its factorization.

214364500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 214364500 is about 14641.1918913728. The cubic root of 214364500 is about 598.4818098862.

The spelling of 214364500 in words is "two hundred fourteen million, three hundred sixty-four thousand, five hundred".