224005752 has 48 divisors (see below), whose sum is σ = 626258880. Its totient is φ = 72259200.

The previous prime is 224005741. The next prime is 224005757. The reversal of 224005752 is 257500422.

224005752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224005757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47949 + ... + 52412.

It is an arithmetic number, because the mean of its divisors is an integer number (13047060).

Almost surely, 2^224005752 is an apocalyptic number.

It is an amenable number.

224005752 is an abundant number, since it is smaller than the sum of its proper divisors (402253128).

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

224005752 is a wasteful number, since it uses less digits than its factorization.

224005752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100404 (or 100397 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 224005752 is about 14966.8217066951. The cubic root of 224005752 is about 607.3229926818.

The spelling of 224005752 in words is "two hundred twenty-four million, five thousand, seven hundred fifty-two".