224971040 has 48 divisors (see below), whose sum is σ = 607424832. Its totient is φ = 77132544.

The previous prime is 224971037. The next prime is 224971057. The reversal of 224971040 is 40179422.

It is a super-2 number, since 2×224971040² = 101223937677363200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224970994 and 224971012.

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 7 ways as a sum of consecutive naturals, for example, 99314 + ... + 101553.

It is an arithmetic number, because the mean of its divisors is an integer number (12654684).

Almost surely, 2^224971040 is an apocalyptic number.

224971040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224971040 is an abundant number, since it is smaller than the sum of its proper divisors (382453792).

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

224971040 is a wasteful number, since it uses less digits than its factorization.

224971040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200889 (or 200881 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 224971040 is about 14999.0346356024. The cubic root of 224971040 is about 608.1941035385.

The spelling of 224971040 in words is "two hundred twenty-four million, nine hundred seventy-one thousand, forty".