224205040 has 40 divisors (see below), whose sum is σ = 532376640. Its totient is φ = 87772416.

The previous prime is 224205019. The next prime is 224205041. The reversal of 224205040 is 40502422.

224205040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×224205040² = 100535799922803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224204999 and 224205017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224205041) 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, 26055 + ... + 33574.

It is an arithmetic number, because the mean of its divisors is an integer number (13309416).

Almost surely, 2^224205040 is an apocalyptic number.

224205040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224205040 is an abundant number, since it is smaller than the sum of its proper divisors (308171600).

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

224205040 is a wasteful number, since it uses less digits than its factorization.

224205040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59689 (or 59683 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 224205040 is about 14973.4778859155. The cubic root of 224205040 is about 607.5030420910.

Adding to 224205040 its reverse (40502422), we get a palindrome (264707462).

The spelling of 224205040 in words is "two hundred twenty-four million, two hundred five thousand, forty".