224989632 has 168 divisors, whose sum is σ = 755550432. Its totient is φ = 62668800.

The previous prime is 224989613. The next prime is 224989643. The reversal of 224989632 is 236989422.

224989632 is a `hidden beast` number, since 2 + 2 + 4 + 9 + 8 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 164632 + ... + 165992.

It is an arithmetic number, because the mean of its divisors is an integer number (4497324).

Almost surely, 2^224989632 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 224989632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377775216).

224989632 is an abundant number, since it is smaller than the sum of its proper divisors (530560800).

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

224989632 is a wasteful number, since it uses less digits than its factorization.

224989632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1414 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 224989632 is about 14999.6543960186. The cubic root of 224989632 is about 608.2108571516.

The spelling of 224989632 in words is "two hundred twenty-four million, nine hundred eighty-nine thousand, six hundred thirty-two".