224238240 has 96 divisors (see below), whose sum is σ = 784848960. Its totient is φ = 59795712.

The previous prime is 224238239. The next prime is 224238253. The reversal of 224238240 is 42832422.

224238240 is a `hidden beast` number, since 2 + 242 + 382 + 40 = 666.

224238240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21634 + ... + 30273.

It is an arithmetic number, because the mean of its divisors is an integer number (8175510).

Almost surely, 2^224238240 is an apocalyptic number.

224238240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224238240 is an abundant number, since it is smaller than the sum of its proper divisors (560610720).

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

224238240 is a wasteful number, since it uses less digits than its factorization.

224238240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51931 (or 51917 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 224238240 is about 14974.5864717527. The cubic root of 224238240 is about 607.5330267062.

It can be divided in two parts, 2242382 and 40, that added together give a palindrome (2242422).

The spelling of 224238240 in words is "two hundred twenty-four million, two hundred thirty-eight thousand, two hundred forty".