214234144 has 48 divisors (see below), whose sum is σ = 452063808. Its totient is φ = 99677952.

The previous prime is 214234091. The next prime is 214234157. The reversal of 214234144 is 441432412.

It is a super-4 number, since 4×214234144⁴ (a number of 34 digits) contains 4444 as substring.

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 7 ways as a sum of consecutive naturals, for example, 23299 + ... + 31165.

It is an arithmetic number, because the mean of its divisors is an integer number (9417996).

Almost surely, 2^214234144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226031904).

214234144 is an abundant number, since it is smaller than the sum of its proper divisors (237829664).

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

214234144 is a wasteful number, since it uses less digits than its factorization.

214234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7937 (or 7929 counting only the distinct ones).

The product of its digits is 3072, while the sum is 25.

The square root of 214234144 is about 14636.7395276407. The cubic root of 214234144 is about 598.3604721428.

Adding to 214234144 its reverse (441432412), we get a palindrome (655666556).

The spelling of 214234144 in words is "two hundred fourteen million, two hundred thirty-four thousand, one hundred forty-four".