214182144 has 216 divisors, whose sum is σ = 700863072. Its totient is φ = 64696320.

The previous prime is 214182109. The next prime is 214182161. The reversal of 214182144 is 441281412.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684132 + ... + 684444.

Almost surely, 2^214182144 is an apocalyptic number.

214182144 is a gapful number since it is divisible by the number (24) 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 214182144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350431536).

214182144 is an abundant number, since it is smaller than the sum of its proper divisors (486680928).

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

214182144 is an equidigital number, since it uses as much as digits as its factorization.

214182144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 329 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 214182144 is about 14634.9630679411. The cubic root of 214182144 is about 598.3120558606.

The spelling of 214182144 in words is "two hundred fourteen million, one hundred eighty-two thousand, one hundred forty-four".