224444640 has 192 divisors, whose sum is σ = 820882944. Its totient is φ = 50485248.

The previous prime is 224444581. The next prime is 224444641. The reversal of 224444640 is 46444422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 224444598 and 224444607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224444641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224622 + ... + 225618.

It is an arithmetic number, because the mean of its divisors is an integer number (4275432).

Almost surely, 2^224444640 is an apocalyptic number.

224444640 is a gapful number since it is divisible by the number (20) 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 224444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410441472).

224444640 is an abundant number, since it is smaller than the sum of its proper divisors (596438304).

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

224444640 is a wasteful number, since it uses less digits than its factorization.

224444640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 224444640 is about 14981.4765627424. The cubic root of 224444640 is about 607.7193707232.

The spelling of 224444640 in words is "two hundred twenty-four million, four hundred forty-four thousand, six hundred forty".