224507052 has 120 divisors (see below), whose sum is σ = 731808000. Its totient is φ = 58307040.

The previous prime is 224507033. The next prime is 224507077. The reversal of 224507052 is 250705422.

224507052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20449 + ... + 29447.

It is an arithmetic number, because the mean of its divisors is an integer number (6098400).

Almost surely, 2^224507052 is an apocalyptic number.

224507052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224507052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365904000).

224507052 is an abundant number, since it is smaller than the sum of its proper divisors (507300948).

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

224507052 is a wasteful number, since it uses less digits than its factorization.

224507052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9033 (or 9022 counting only the distinct ones).

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

The square root of 224507052 is about 14983.5593902117. The cubic root of 224507052 is about 607.7756956239.

The spelling of 224507052 in words is "two hundred twenty-four million, five hundred seven thousand, fifty-two".