214164300 has 216 divisors, whose sum is σ = 764107344. Its totient is φ = 46018560.

The previous prime is 214164239. The next prime is 214164341. The reversal of 214164300 is 3461412.

214164300 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 (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 249472 + ... + 250328.

It is an arithmetic number, because the mean of its divisors is an integer number (3537534).

Almost surely, 2^214164300 is an apocalyptic number.

214164300 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 214164300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382053672).

214164300 is an abundant number, since it is smaller than the sum of its proper divisors (549943044).

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

214164300 is a wasteful number, since it uses less digits than its factorization.

214164300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 214164300 is about 14634.3534192666. The cubic root of 214164300 is about 598.2954398212.

The spelling of 214164300 in words is "two hundred fourteen million, one hundred sixty-four thousand, three hundred".