214557200 has 240 divisors, whose sum is σ = 630292992. Its totient is φ = 69696000.

The previous prime is 214557193. The next prime is 214557251. The reversal of 214557200 is 2755412.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 214557200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6921185 + ... + 6921215.

Almost surely, 2^214557200 is an apocalyptic number.

214557200 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 214557200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315146496).

214557200 is an abundant number, since it is smaller than the sum of its proper divisors (415735792).

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

214557200 is a wasteful number, since it uses less digits than its factorization.

214557200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 214557200 is about 14647.7711615112. The cubic root of 214557200 is about 598.6610884898.

The spelling of 214557200 in words is "two hundred fourteen million, five hundred fifty-seven thousand, two hundred".