224161632 has 72 divisors (see below), whose sum is σ = 647029656. Its totient is φ = 73598976.

The previous prime is 224161621. The next prime is 224161633. The reversal of 224161632 is 236161422.

224161632 is a `hidden beast` number, since 2 + 2 + 41 + 616 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 224161596 and 224161605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224161633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13488 + ... + 25104.

It is an arithmetic number, because the mean of its divisors is an integer number (8986523).

Almost surely, 2^224161632 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 224161632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323514828).

224161632 is an abundant number, since it is smaller than the sum of its proper divisors (422868024).

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

224161632 is a wasteful number, since it uses less digits than its factorization.

224161632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11700 (or 11689 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 224161632 is about 14972.0283195030. The cubic root of 224161632 is about 607.4638336443.

The spelling of 224161632 in words is "two hundred twenty-four million, one hundred sixty-one thousand, six hundred thirty-two".