224535040 has 80 divisors (see below), whose sum is σ = 543090240. Its totient is φ = 89026560.

The previous prime is 224535013. The next prime is 224535041. The reversal of 224535040 is 40535422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 224534996 and 224535014.

It is not an unprimeable number, because it can be changed into a prime (224535041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355525 + ... + 356155.

It is an arithmetic number, because the mean of its divisors is an integer number (6788628).

Almost surely, 2^224535040 is an apocalyptic number.

224535040 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 224535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271545120).

224535040 is an abundant number, since it is smaller than the sum of its proper divisors (318555200).

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

224535040 is an equidigital number, since it uses as much as digits as its factorization.

224535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 224535040 is about 14984.4933180939. The cubic root of 224535040 is about 607.8009505386.

The spelling of 224535040 in words is "two hundred twenty-four million, five hundred thirty-five thousand, forty".