214242144 has 48 divisors (see below), whose sum is σ = 563452848. Its totient is φ = 71278592.

The previous prime is 214242137. The next prime is 214242181. The reversal of 214242144 is 441242412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 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, 57424 + ... + 61040.

It is an arithmetic number, because the mean of its divisors is an integer number (11738601).

Almost surely, 2^214242144 is an apocalyptic number.

214242144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214242144 is an abundant number, since it is smaller than the sum of its proper divisors (349210704).

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

214242144 is a wasteful number, since it uses less digits than its factorization.

214242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247 (or 4239 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 214242144 is about 14637.0128099964. The cubic root of 214242144 is about 598.3679201062.

Adding to 214242144 its reverse (441242412), we get a palindrome (655484556).

The spelling of 214242144 in words is "two hundred fourteen million, two hundred forty-two thousand, one hundred forty-four".