224861952 has 144 divisors (see below), whose sum is σ = 690970112. Its totient is φ = 63590400.

The previous prime is 224861951. The next prime is 224861957. The reversal of 224861952 is 259168422.

It is a self number, because there is not a number n which added to its sum of digits gives 224861952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224861951) 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 15 ways as a sum of consecutive naturals, for example, 811638 + ... + 811914.

Almost surely, 2^224861952 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 224861952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345485056).

224861952 is an abundant number, since it is smaller than the sum of its proper divisors (466108160).

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

224861952 is a wasteful number, since it uses less digits than its factorization.

224861952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 440 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 224861952 is about 14995.3976939593. The cubic root of 224861952 is about 608.0957836169.

The spelling of 224861952 in words is "two hundred twenty-four million, eight hundred sixty-one thousand, nine hundred fifty-two".