223221440 has 112 divisors (see below), whose sum is σ = 597578688. Its totient is φ = 78802944.

The previous prime is 223221437. The next prime is 223221451. The reversal of 223221440 is 44122322.

It is a super-3 number, since 3×223221440³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94514 + ... + 96846.

It is an arithmetic number, because the mean of its divisors is an integer number (5335524).

Almost surely, 2^223221440 is an apocalyptic number.

223221440 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 223221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298789344).

223221440 is an abundant number, since it is smaller than the sum of its proper divisors (374357248).

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

223221440 is a wasteful number, since it uses less digits than its factorization.

223221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 223221440 is about 14940.5970429565. The cubic root of 223221440 is about 606.6133565575.

Adding to 223221440 its reverse (44122322), we get a palindrome (267343762).

The spelling of 223221440 in words is "two hundred twenty-three million, two hundred twenty-one thousand, four hundred forty".