224220312 has 80 divisors (see below), whose sum is σ = 631184400. Its totient is φ = 74364480.

The previous prime is 224220299. The next prime is 224220313. The reversal of 224220312 is 213022422.

224220312 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (224220313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 147637 + ... + 149147.

It is an arithmetic number, because the mean of its divisors is an integer number (7889805).

Almost surely, 2^224220312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315592200).

224220312 is an abundant number, since it is smaller than the sum of its proper divisors (406964088).

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

224220312 is a wasteful number, since it uses less digits than its factorization.

224220312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1745 counting only the distinct ones).

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

The square root of 224220312 is about 14973.9878455941. The cubic root of 224220312 is about 607.5168353816.

Adding to 224220312 its reverse (213022422), we get a palindrome (437242734).

The spelling of 224220312 in words is "two hundred twenty-four million, two hundred twenty thousand, three hundred twelve".