224312220 has 144 divisors (see below), whose sum is σ = 767292960. Its totient is φ = 54362880.

The previous prime is 224312219. The next prime is 224312227. The reversal of 224312220 is 22213422.

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 = 224312193 and 224312202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224312227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63624 + ... + 67056.

Almost surely, 2^224312220 is an apocalyptic number.

224312220 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 224312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383646480).

224312220 is an abundant number, since it is smaller than the sum of its proper divisors (542980740).

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

224312220 is a wasteful number, since it uses less digits than its factorization.

224312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3473 (or 3454 counting only the distinct ones).

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

The square root of 224312220 is about 14977.0564531219. The cubic root of 224312220 is about 607.5998311779.

Adding to 224312220 its reverse (22213422), we get a palindrome (246525642).

The spelling of 224312220 in words is "two hundred twenty-four million, three hundred twelve thousand, two hundred twenty".