214355200 has 54 divisors (see below), whose sum is σ = 530578454. Its totient is φ = 85739520.

The previous prime is 214355191. The next prime is 214355213. The reversal of 214355200 is 2553412.

It can be written as a sum of positive squares in 3 ways, for example, as 74926336 + 139428864 = 8656^2 + 11808^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 10347 + ... + 23146.

Almost surely, 2^214355200 is an apocalyptic number.

214355200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214355200 is an abundant number, since it is smaller than the sum of its proper divisors (316223254).

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

214355200 is an equidigital number, since it uses as much as digits as its factorization.

214355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33519 (or 33500 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 214355200 is about 14640.8742908339. The cubic root of 214355200 is about 598.4731549063.

The spelling of 214355200 in words is "two hundred fourteen million, three hundred fifty-five thousand, two hundred".