224552032 has 48 divisors (see below), whose sum is σ = 467691840. Its totient is φ = 105833088.

The previous prime is 224552023. The next prime is 224552057. The reversal of 224552032 is 230255422.

It is a happy number.

It is a super-3 number, since 3×224552032³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224551988 and 224552006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137203 + ... + 138829.

It is an arithmetic number, because the mean of its divisors is an integer number (9743580).

Almost surely, 2^224552032 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 224552032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233845920).

224552032 is an abundant number, since it is smaller than the sum of its proper divisors (243139808).

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

224552032 is a wasteful number, since it uses less digits than its factorization.

224552032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 224552032 is about 14985.0602935057. The cubic root of 224552032 is about 607.8162822114.

The spelling of 224552032 in words is "two hundred twenty-four million, five hundred fifty-two thousand, thirty-two".