224213040 has 60 divisors (see below), whose sum is σ = 752984544. Its totient is φ = 59789952.

The previous prime is 224213027. The next prime is 224213047. The reversal of 224213040 is 40312422.

224213040 is digitally balanced in base 3, 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 (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (224213047) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 154984 + ... + 156423.

Almost surely, 2^224213040 is an apocalyptic number.

224213040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224213040 is an abundant number, since it is smaller than the sum of its proper divisors (528771504).

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

224213040 is a wasteful number, since it uses less digits than its factorization.

224213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311426 (or 311417 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224213040 is about 14973.7450225386. The cubic root of 224213040 is about 607.5102675702.

Adding to 224213040 its reverse (40312422), we get a palindrome (264525462).

The spelling of 224213040 in words is "two hundred twenty-four million, two hundred thirteen thousand, forty".