223613440 has 80 divisors (see below), whose sum is σ = 541592568. Its totient is φ = 88539136.

The previous prime is 223613437. The next prime is 223613443. The reversal of 223613440 is 44316322.

It is an interprime number because it is at equal distance from previous prime (223613437) and next prime (223613443).

It can be written as a sum of positive squares in 4 ways, for example, as 54405376 + 169208064 = 7376^2 + 13008^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (223613443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288894 + ... + 289666.

Almost surely, 2^223613440 is an apocalyptic number.

223613440 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 223613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270796284).

223613440 is an abundant number, since it is smaller than the sum of its proper divisors (317979128).

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

223613440 is an equidigital number, since it uses as much as digits as its factorization.

223613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 223613440 is about 14953.7099075781. The cubic root of 223613440 is about 606.9682408902.

Adding to 223613440 its reverse (44316322), we get a palindrome (267929762).

The spelling of 223613440 in words is "two hundred twenty-three million, six hundred thirteen thousand, four hundred forty".