214011984 has 40 divisors (see below), whose sum is σ = 558044640. Its totient is φ = 70668928.

The previous prime is 214011979. The next prime is 214012037. The reversal of 214011984 is 489110412.

It is a super-2 number, since 2×214011984² = 91602258591232512, which contains 22 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, 15699 + ... + 25970.

It is an arithmetic number, because the mean of its divisors is an integer number (13951116).

Almost surely, 2^214011984 is an apocalyptic number.

214011984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214011984 is an abundant number, since it is smaller than the sum of its proper divisors (344032656).

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

214011984 is a wasteful number, since it uses less digits than its factorization.

214011984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41787 (or 41781 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 214011984 is about 14629.1484372810. The cubic root of 214011984 is about 598.1535680885.

The spelling of 214011984 in words is "two hundred fourteen million, eleven thousand, nine hundred eighty-four".