224165040 has 320 divisors, whose sum is σ = 824947200. Its totient is φ = 49766400.

The previous prime is 224165027. The next prime is 224165047. The reversal of 224165040 is 40561422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 224165040.

It is not an unprimeable number, because it can be changed into a prime (224165047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2056506 + ... + 2056614.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^224165040 is an apocalyptic number.

224165040 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 224165040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412473600).

224165040 is an abundant number, since it is smaller than the sum of its proper divisors (600782160).

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

224165040 is a wasteful number, since it uses less digits than its factorization.

224165040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 224165040 is about 14972.1421313051. The cubic root of 224165040 is about 607.4669121168.

The spelling of 224165040 in words is "two hundred twenty-four million, one hundred sixty-five thousand, forty".