224205420 has 48 divisors (see below), whose sum is σ = 631800288. Its totient is φ = 59404800.

The previous prime is 224205391. The next prime is 224205461. The reversal of 224205420 is 24502422.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2481 + ... + 21320.

It is an arithmetic number, because the mean of its divisors is an integer number (13162506).

Almost surely, 2^224205420 is an apocalyptic number.

224205420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224205420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315900144).

224205420 is an abundant number, since it is smaller than the sum of its proper divisors (407594868).

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

224205420 is a wasteful number, since it uses less digits than its factorization.

224205420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23970 (or 23968 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 224205420 is about 14973.4905750129. The cubic root of 224205420 is about 607.5033853052.

Adding to 224205420 its reverse (24502422), we get a palindrome (248707842).

The spelling of 224205420 in words is "two hundred twenty-four million, two hundred five thousand, four hundred twenty".