224661984 has 48 divisors (see below), whose sum is σ = 594413568. Its totient is φ = 74293632.

The previous prime is 224661979. The next prime is 224662007. The reversal of 224661984 is 489166422.

224661984 = 1842² + 1843² + ... + 1905².

It is a tau number, because it is divible by the number of its divisors (48).

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, 2979 + ... + 21405.

It is an arithmetic number, because the mean of its divisors is an integer number (12383616).

Almost surely, 2^224661984 is an apocalyptic number.

224661984 is a gapful number since it is divisible by the number (24) 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 224661984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297206784).

224661984 is an abundant number, since it is smaller than the sum of its proper divisors (369751584).

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

224661984 is a wasteful number, since it uses less digits than its factorization.

224661984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18567 (or 18559 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 224661984 is about 14988.7285651586. The cubic root of 224661984 is about 607.9154718592.

The spelling of 224661984 in words is "two hundred twenty-four million, six hundred sixty-one thousand, nine hundred eighty-four".