224413020 has 144 divisors (see below), whose sum is σ = 758590560. Its totient is φ = 53319168.

The previous prime is 224413019. The next prime is 224413067. The reversal of 224413020 is 20314422.

It is a super-2 number, since 2×224413020² = 100722407091040800, 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 = 224412984 and 224413002.

It is a congruent number.

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, 66207 + ... + 69513.

It is an arithmetic number, because the mean of its divisors is an integer number (5267990).

Almost surely, 2^224413020 is an apocalyptic number.

224413020 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 224413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379295280).

224413020 is an abundant number, since it is smaller than the sum of its proper divisors (534177540).

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

224413020 is a wasteful number, since it uses less digits than its factorization.

224413020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3359 counting only the distinct ones).

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

The square root of 224413020 is about 14980.4212223822. The cubic root of 224413020 is about 607.6908306654.

Adding to 224413020 its reverse (20314422), we get a palindrome (244727442).

The spelling of 224413020 in words is "two hundred twenty-four million, four hundred thirteen thousand, twenty".