224224040 has 32 divisors (see below), whose sum is σ = 509508360. Its totient is φ = 88800000.

The previous prime is 224223943. The next prime is 224224051. The reversal of 224224040 is 40422422.

224224040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 224220676 + 3364 = 14974^2 + 58^2 .

It is a super-2 number, since 2×224224040² = 100552840227843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23711 + ... + 31790.

Almost surely, 2^224224040 is an apocalyptic number.

224224040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224224040 is an abundant number, since it is smaller than the sum of its proper divisors (285284320).

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

224224040 is a wasteful number, since it uses less digits than its factorization.

224224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55613 (or 55609 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 224224040 is about 14974.1123276139. The cubic root of 224224040 is about 607.5202023234.

Adding to 224224040 its reverse (40422422), we get a palindrome (264646462).

It can be divided in two parts, 22422 and 4040, that added together give a palindrome (26462).

The spelling of 224224040 in words is "two hundred twenty-four million, two hundred twenty-four thousand, forty".