224735952 has 240 divisors, whose sum is σ = 732810240. Its totient is φ = 58980096.

The previous prime is 224735911. The next prime is 224735977. The reversal of 224735952 is 259537422.

It is a self number, because there is not a number n which added to its sum of digits gives 224735952.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2100283 + ... + 2100389.

It is an arithmetic number, because the mean of its divisors is an integer number (3053376).

Almost surely, 2^224735952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224735952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366405120).

224735952 is an abundant number, since it is smaller than the sum of its proper divisors (508074288).

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

224735952 is a wasteful number, since it uses less digits than its factorization.

224735952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 224735952 is about 14991.1958162116. The cubic root of 224735952 is about 607.9821814953.

It can be divided in two parts, 2247 and 35952, that multiplied together give a square (80784144 = 8988²).

The spelling of 224735952 in words is "two hundred twenty-four million, seven hundred thirty-five thousand, nine hundred fifty-two".