223663440 has 640 divisors, whose sum is σ = 999936000. Its totient is φ = 40642560.

The previous prime is 223663423. The next prime is 223663493. The reversal of 223663440 is 44366322.

It is a happy number.

223663440 is digitally balanced in base 3, 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 223663398 and 223663407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11771751 + ... + 11771769.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^223663440 is an apocalyptic number.

223663440 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 223663440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968000).

223663440 is an abundant number, since it is smaller than the sum of its proper divisors (776272560).

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

223663440 is a wasteful number, since it uses less digits than its factorization.

223663440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 223663440 is about 14955.3816400652. The cubic root of 223663440 is about 607.0134769165.

The spelling of 223663440 in words is "two hundred twenty-three million, six hundred sixty-three thousand, four hundred forty".