224002420 has 24 divisors (see below), whose sum is σ = 470824200. Its totient is φ = 89521152.

The previous prime is 224002417. The next prime is 224002459. The reversal of 224002420 is 24200422.

It can be written as a sum of positive squares in 4 ways, for example, as 97574884 + 126427536 = 9878^2 + 11244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 224002394 and 224002403.

It is a congruent number.

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, 21436 + ... + 30124.

It is an arithmetic number, because the mean of its divisors is an integer number (19617675).

Almost surely, 2^224002420 is an apocalyptic number.

224002420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224002420 is an abundant number, since it is smaller than the sum of its proper divisors (246821780).

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

224002420 is a wasteful number, since it uses less digits than its factorization.

224002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9987 (or 9985 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 224002420 is about 14966.7103934031. The cubic root of 224002420 is about 607.3199814343.

Adding to 224002420 its reverse (24200422), we get a palindrome (248202842).

It can be divided in two parts, 224002 and 420, that added together give a palindrome (224422).

The spelling of 224002420 in words is "two hundred twenty-four million, two thousand, four hundred twenty".