224686644 has 192 divisors, whose sum is σ = 680687616. Its totient is φ = 56111616.

The previous prime is 224686639. The next prime is 224686669. The reversal of 224686644 is 446686422.

224686644 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×224686644³ (a number of 26 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 224686596 and 224686605.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2707027 + ... + 2707109.

It is an arithmetic number, because the mean of its divisors is an integer number (3545248).

Almost surely, 2^224686644 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 224686644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340343808).

224686644 is an abundant number, since it is smaller than the sum of its proper divisors (456000972).

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

224686644 is a wasteful number, since it uses less digits than its factorization.

224686644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 224686644 is about 14989.5511607253. The cubic root of 224686644 is about 607.9377136389.

The spelling of 224686644 in words is "two hundred twenty-four million, six hundred eighty-six thousand, six hundred forty-four".