224964096 has 200 divisors, whose sum is σ = 710624904. Its totient is φ = 63221760.

The previous prime is 224964083. The next prime is 224964097. The reversal of 224964096 is 690469422.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224964097) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 3687906 + ... + 3687966.

Almost surely, 2^224964096 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 224964096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355312452).

224964096 is an abundant number, since it is smaller than the sum of its proper divisors (485660808).

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

224964096 is an frugal number, since it uses more digits than its factorization.

224964096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 224964096 is about 14998.8031522518. The cubic root of 224964096 is about 608.1878459281.

The spelling of 224964096 in words is "two hundred twenty-four million, nine hundred sixty-four thousand, ninety-six".