224001320 has 64 divisors (see below), whose sum is σ = 517551120. Its totient is φ = 87220224.

The previous prime is 224001311. The next prime is 224001329. The reversal of 224001320 is 23100422.

It is an interprime number because it is at equal distance from previous prime (224001311) and next prime (224001329).

It can be written as a sum of positive squares in 8 ways, for example, as 78605956 + 145395364 = 8866^2 + 12058^2 .

It is a junction number, because it is equal to n+sod(n) for n = 224001295 and 224001304.

It is not an unprimeable number, because it can be changed into a prime (224001329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332504 + ... + 333176.

Almost surely, 2^224001320 is an apocalyptic number.

224001320 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 224001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258775560).

224001320 is an abundant number, since it is smaller than the sum of its proper divisors (293549800).

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

224001320 is a wasteful number, since it uses less digits than its factorization.

224001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 224001320 is about 14966.6736451357. The cubic root of 224001320 is about 607.3189873185.

Adding to 224001320 its reverse (23100422), we get a palindrome (247101742).

The spelling of 224001320 in words is "two hundred twenty-four million, one thousand, three hundred twenty".