214171300 has 72 divisors (see below), whose sum is σ = 533576960. Its totient is φ = 73094400.

The previous prime is 214171297. The next prime is 214171301. The reversal of 214171300 is 3171412.

It is not an unprimeable number, because it can be changed into a prime (214171301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189136 + ... + 190264.

Almost surely, 2^214171300 is an apocalyptic number.

214171300 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 214171300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266788480).

214171300 is an abundant number, since it is smaller than the sum of its proper divisors (319405660).

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

214171300 is a wasteful number, since it uses less digits than its factorization.

214171300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 214171300 is about 14634.5925805948. The cubic root of 214171300 is about 598.3019582161.

It can be divided in two parts, 2141 and 71300, that added together give a square (73441 = 271²).

The spelling of 214171300 in words is "two hundred fourteen million, one hundred seventy-one thousand, three hundred".