224013420 has 144 divisors (see below), whose sum is σ = 757542240. Its totient is φ = 53250048.

The previous prime is 224013397. The next prime is 224013467. The reversal of 224013420 is 24310422.

224013420 is a `hidden beast` number, since 2 + 240 + 1 + 3 + 420 = 666.

224013420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 224013393 and 224013402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56214 + ... + 60066.

It is an arithmetic number, because the mean of its divisors is an integer number (5260710).

Almost surely, 2^224013420 is an apocalyptic number.

224013420 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 224013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378771120).

224013420 is an abundant number, since it is smaller than the sum of its proper divisors (533528820).

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

224013420 is a wasteful number, since it uses less digits than its factorization.

224013420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224013420 is about 14967.0778711143. The cubic root of 224013420 is about 607.3299224139.

Adding to 224013420 its reverse (24310422), we get a palindrome (248323842).

The spelling of 224013420 in words is "two hundred twenty-four million, thirteen thousand, four hundred twenty".