224510040 has 96 divisors (see below), whose sum is σ = 739739520. Its totient is φ = 59042304.

The previous prime is 224510003. The next prime is 224510053. The reversal of 224510040 is 40015422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 224509995 and 224510022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22009 + ... + 30551.

It is an arithmetic number, because the mean of its divisors is an integer number (7705620).

Almost surely, 2^224510040 is an apocalyptic number.

224510040 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 224510040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369869760).

224510040 is an abundant number, since it is smaller than the sum of its proper divisors (515229480).

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

224510040 is a wasteful number, since it uses less digits than its factorization.

224510040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8633 (or 8626 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 224510040 is about 14983.6590991653. The cubic root of 224510040 is about 607.7783919397.

Adding to 224510040 its reverse (40015422), we get a palindrome (264525462).

The spelling of 224510040 in words is "two hundred twenty-four million, five hundred ten thousand, forty".