224224020 has 36 divisors (see below), whose sum is σ = 680146740. Its totient is φ = 59793024.

The previous prime is 224223943. The next prime is 224224051. The reversal of 224224020 is 20422422.

224224020 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 2 ways, for example, as 103795344 + 120428676 = 10188^2 + 10974^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×224224020² = 100552822289920800, which contains 22 as substring.

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 = 224223984 and 224224002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 622665 + ... + 623024.

It is an arithmetic number, because the mean of its divisors is an integer number (18892965).

Almost surely, 2^224224020 is an apocalyptic number.

224224020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224224020 is an abundant number, since it is smaller than the sum of its proper divisors (455922720).

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

224224020 is a wasteful number, since it uses less digits than its factorization.

224224020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245704 (or 1245699 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 224224020 is about 14974.1116597947. Note that the first 3 decimals coincide. The cubic root of 224224020 is about 607.5201842605.

Adding to 224224020 its reverse (20422422), we get a palindrome (244646442).

It can be divided in two parts, 2242 and 24020, that added together give a palindrome (26262).

The spelling of 224224020 in words is "two hundred twenty-four million, two hundred twenty-four thousand, twenty".