214215144 has 64 divisors (see below), whose sum is σ = 629173440. Its totient is φ = 59919360.

The previous prime is 214215137. The next prime is 214215151. The reversal of 214215144 is 441512412.

It is an interprime number because it is at equal distance from previous prime (214215137) and next prime (214215151).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27777 + ... + 34640.

It is an arithmetic number, because the mean of its divisors is an integer number (9830835).

Almost surely, 2^214215144 is an apocalyptic number.

214215144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214215144 is an abundant number, since it is smaller than the sum of its proper divisors (414958296).

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

214215144 is a wasteful number, since it uses less digits than its factorization.

214215144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62450 (or 62446 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 214215144 is about 14636.0904615953. The cubic root of 214215144 is about 598.3427824866.

Adding to 214215144 its reverse (441512412), we get a palindrome (655727556).

It can be divided in two parts, 21421 and 5144, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 214215144 in words is "two hundred fourteen million, two hundred fifteen thousand, one hundred forty-four".