214249700 has 144 divisors (see below), whose sum is σ = 568713600. Its totient is φ = 68428800.

The previous prime is 214249697. The next prime is 214249727. The reversal of 214249700 is 7942412.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1183610 + ... + 1183790.

It is an arithmetic number, because the mean of its divisors is an integer number (3949400).

Almost surely, 2^214249700 is an apocalyptic number.

214249700 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 214249700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284356800).

214249700 is an abundant number, since it is smaller than the sum of its proper divisors (354463900).

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

214249700 is a wasteful number, since it uses less digits than its factorization.

214249700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 214249700 is about 14637.2709204961. The cubic root of 214249700 is about 598.3749545374.

The spelling of 214249700 in words is "two hundred fourteen million, two hundred forty-nine thousand, seven hundred".