214005268 has 24 divisors (see below), whose sum is σ = 390408480. Its totient is φ = 102516960.

The previous prime is 214005257. The next prime is 214005277. The reversal of 214005268 is 862500412.

It is a super-3 number, since 3×214005268³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8155 + ... + 22237.

It is an arithmetic number, because the mean of its divisors is an integer number (16267020).

Almost surely, 2^214005268 is an apocalyptic number.

It is an amenable number.

214005268 is a deficient number, since it is larger than the sum of its proper divisors (176403212).

214005268 is a wasteful number, since it uses less digits than its factorization.

214005268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14247 (or 14245 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 214005268 is about 14628.9188937529. The cubic root of 214005268 is about 598.1473110536.

The spelling of 214005268 in words is "two hundred fourteen million, five thousand, two hundred sixty-eight".