224513040 has 160 divisors (see below), whose sum is σ = 723989376. Its totient is φ = 57507840.

The previous prime is 224513027. The next prime is 224513059. The reversal of 224513040 is 40315422.

It is a super-2 number, since 2×224513040² = 100812210260083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224512998 and 224513016.

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 31 ways as a sum of consecutive naturals, for example, 1163184 + ... + 1163376.

Almost surely, 2^224513040 is an apocalyptic number.

224513040 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 224513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361994688).

224513040 is an abundant number, since it is smaller than the sum of its proper divisors (499476336).

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

224513040 is a wasteful number, since it uses less digits than its factorization.

224513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 224513040 is about 14983.7592078891. The cubic root of 224513040 is about 607.7810990600.

Adding to 224513040 its reverse (40315422), we get a palindrome (264828462).

The spelling of 224513040 in words is "two hundred twenty-four million, five hundred thirteen thousand, forty".